5th Grade Math: Division Games

Estimate Quotients

Select the Expression to Estimate

Take a deep dive into the world of math by selecting the expression to estimate correctly.

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Estimate Quotients

Estimate the Quotient

Use your division skills to estimate the quotient.

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Estimate Quotients

Identify the First Digit of Quotients

Kids must identify the first digit of the quotient to practice division.

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Long Division Skills

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Divide 2-Digit By 1-Digit Numbers

Find the Quotient

Enter the madness of math-multiverse by learning to find the quotient.

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Divide 4-Digit By 1-Digit Numbers

Choose the Correct Divisor

Take a deep dive into the world of math with our 'Choose the Correct Divisor' game.

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Divide 3-Digit By 2-Digit Numbers

Divide and Check the Remainder

Enjoy the marvel of mathematics by exploring how to divide and check the remainder.

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Divide 3-Digit By 1-Digit Numbers

Divide 3-digit Multiples of 10 and 100

Divide 3-digit multiples of 10 and 100 to practice division.

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All Division Skills

Long Division

Choose the Number Divisible by the Given Number

Kids must choose the number divisible by the given number to practice division.

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Long Division

Divide by Numbers from 2 to 5

Kids must divide by numbers from 2 to 5 to practice division.

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Long Division

Divide By Numbers that Lie Between 6 to 9

Practice dividing by numbers that lie between 6 to 9 through this game.

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Long Division

Divide When Dividend is Between 2 to 5

Use your division skills to divide when the dividend is between 2 to 5.

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Long Division

Complete the Division Solution Where Dividend is Between 6-9

Kids must complete the division solution where the dividend is between 6 and 9.

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Long Division

Find the Quotient By Dividing 3-Digit Numbers by 1-Digit Numbers

Find the quotient by dividing 3-digit numbers by 1-digit numbers.

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Long Division

Choose the Divisible Number

Practice the superpower of division by learning how to choose the correct divisible number.

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Long Division

Use Long Division Method to Divide by Dividend Between 2 to 5

Kids must use the long division method to divide by the dividend between 2 to 5.

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Long Division

Fill in the Missing Numbers in the Solution

Practice the concept of division by filling in the missing numbers in the solution.

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Long Division

Complete the Division Solution

Apply your knowledge of division to complete the division solution.

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Long Division

Complete the Long Division Solution

Use your division skills to complete the long division solution.

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Long Division

Divide 4-digit Multiples of 100

Help your child take flight by helping them divide 4-digit multiples of 100.

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Long Division

Choose the 4-Digit Number Divisible

Help kids practice division with this 'Choose the 4-Digit Number Divisible' game.

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Long Division

Complete the Division Equation

Practice the superpower of division by learning to complete the division equation.

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Long Division

Divide 4-Digit Numbers By 1-Digit Numbers

Enjoy the marvel of math-multiverse by exploring how to divide 4-digit numbers by 1-digit numbers.

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Long Division

Complete the Division

Help your child take flight by learning how to complete the division.

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Long Division

Determine the Quotient

Practice the superpower of division by learning to determine the quotient.

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Long Division

Complete the Division with Remainder

Take a look at how to complete the division with remainder in this game.

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Long Division

Determine the Quotient and the Remainder

Add more arrows to your child’s math quiver by helping them determine the quotient and remainder.

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Long Division

Determine the Remainder

Begin the exciting journey of becoming a math wizard by learning to determine the remainder.

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Long Division

Identify the Number that is Divisible

Use your math skills to identify the number that is divisible.

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Long Division

Select the Division Expression

Enter the madness of math-multiverse by exploring how to select the division expression.

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Division

Find the Number of Groups

Find the number of groups to practice division.

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Division

Divide Multiples of 10 and 100

Learn to solve problems by dividing multiples of 10 and 100.

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Division

Find the Dividend

Enter the madness of math-multiverse by exploring how to find the dividend.

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Division

Divide Using Patterns of Zeros

Enjoy the marvel of mathematics by exploring how to divide using patterns of zeros.

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Division

Complete the the Division Patterns

Practice the superpower of division by learning how to complete the division patterns.

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Division

Divide Multiples of 100 and Find the Quotient

Divide multiples of 100 and find the quotient.

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Division

Solve Word Problems Related to Division

Add more arrows to your child’s math quiver by solving word problems related to division.

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Division

Divide Multiples of 10 by 1-Digit Numbers

Ask your little one to divide multiples of 10 by 1-digit numbers to play this game.

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Division

Identify the Patterns of Zeros and Divide

Learn to solve math problems by identifying the patterns of zeros and divide.

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Frequently Asked Questions:

Q1: How do you solve division problems?

Ans: To solve division problems, we read the problem and identify the dividend and the divisor. Then, we divide the dividend by the divisor either mentally or by using long division method. We may also need to solve the problem further to get to the final answer.

Q2: What is a division fact for 5th Graders?

Ans: Division facts are the division number sentences related to times tables. Therefore: 30 ÷ 3 = 10, 27 ÷ 3 = 9 and 24 ÷ 3 = 8 are all division facts for the three times table. By year 5, children know all of their times tables up to 12 x 12, and the corresponding division facts. They use the division facts to solve division problems involving larger numbers.

Q3: How do you divide numbers using long division?

Ans: To divide numbers using long division, we put the divisor outside the division box and dividend inside it. We identify the first one or two digits that are closest to multiple of divisor which is either equal or less than first one or two digits. We write the multiple in quotient box and below the digits in the dividend. Then, we subtract the multiple of divisor from first digits of the dividend. Then answer obtained is the remainder in this case. We bring down the next digit of dividend and repeat the same process till we obtain the final remainder which is either 0 or a number less than the divisor.

The previous grade fosters reasoning skills in kids to derive an arithmetic expression from the given word problem. With suitable operators to swiftly add, subtract, multiply and divide 4-digit numbers by a single-digit number; the result of “division” operation is computed in terms of quotient and remainder. Also, long division methods and division by multiples of 10 and 100 enable to quickly divide the numbers and obtain a precise answer.

In grade 5, the 2-digit divisors are introduced to further enhance the skills for advanced math. Understanding of concepts like know-how technique to form multiplication tables; kids assimilate the proficiency in the estimation of the divisor and dividend to the nearest multiple of 10. The technique boosts fast math skills and enables kids to estimate the quotients as well. The apprehension of “division” to fractional numbers and place value system is instrumental in learning measurements and cognate the conversion techniques.

What is “Division”?

“Division” as a math technique for the 5th graders is narrated as:

“Formulation of a fair sharing model to divide the number (dividend) in the specified number of groups (divisor)”.

For example:

Math Games for Teaching Division

The abstract knowledge of foundational math skills is enhanced in each grade to learn the applicability and practical aspects. “Division” as a math essential begins by creating a partition model to conceptualize and associated it with visual observation. Fun learning math games for SplashLearn further hones the proficiency in dividing 4-digit numbers by a single-digit number and computing the quotient and the remainder (if any). Easy-to-grasp math games aligned to common core math standards for grade-5 extend the skill to the division of numbers involving fractions and double-digit divisors.

Well-formulated games assist kids to excel in math and engage in efficient homeschooling.

Learning and outcome:

In the 5th grade, reasoning to comprehend a word problem is nurtured by formulating valid expressions. Kids learn to use standard algorithms and the corresponding properties of the math operations (such as the distributive property of multiplication; as a x b = b x a). With the knowledge of the base-10 system and estimating the closest multiple of 10 corresponding to a number; kids learn to strategically break the dividend and the divisor apart in base-10 units for estimating the quotient.

Projected learning outcomes are listed as follows:

Discovering a pattern or structure to add, subtract, multiply and divide whole numbers, fractions, and numbers for graphical representation
Understanding and generalize patterns to solve arithmetic expressions using arithmetic operations
Comprehending the fair sharing model by evaluating quotient in the decimal form
Applying the distributive property to find the quotient place by place, starting from the highest place
Estimating the closest base-10 multiple for dividend and divisor to incorporate mental computation and nurture fast math skills
Dividing fractions and 4-digit numbers by a 2-digit divisor & fraction
Representing the math expressions & quotient using the place value system

Required math skills:

To learn the “division” operation involving fractions and 2-digit division, required math essentials insist fluently solving single-step and multistep math operations. These operations are addition, subtraction, multiplication, and division of 4-digit numbers. The significant command in multiplying double-digit number to the single-digit number for close estimation is helpful in working on long division method.

Comprehension of the place-value system along with the interpretation in base-10 blocks and unit blocks are instrumental in the cultivation of visual observation skills to divide by fractional divisors.

Engagement:

SplashLearn worksheets encourage kids to think logically with reasoning and language comprehension to understand math concepts. Unique, engaging and interactive interface with a colorful theme-based display foster deep-rooted concepts in kids. Following a well-planned routine to solve the comprehensive exercises assists in fast mental calculations and excel in math without any fear.

The upcoming section discusses the different cases with 2-digit numbers & fractional values as the divisor and corresponding decimal arithmetic.

Division by 2-digit numbers

To divide a number (between 10 and 10,000) by a 2-digit divisor (between 10 and 99), the long division method is followed. Two possible answers in such division are either whole number as a quotient or a quotient with a remainder. The remainder will always be less than the divisor.

Division without remainder

To divide a number by a two-digit divisor, consider an example as follows:

Divide 425 by 25

25 )¯425 ( 17 → Quotient

– 25↓ _ →25 x 1 = 25

175

– 175 → 25 x 7 = 175

000 → No Remainder

To solve the problem using fast math skills, estimate the closest value (a multiple of 10s and closer to the dividend) which upon subtraction will yield 0 or a remainder less than the divisor. For example,

25 x 4 = 100
So, 25 x 8 = 200
As, 200 – 25 = 175, thus 25 x 7 = 175 and it can be subtracted from the remaining dividend.

Division with remainder

As discussed previously, the division result may end in a quotient and a remainder. Consider the following example:

Divide 738 by 22

22 )¯738 ( 33 → Quotient

– 66↓ _ →22 x 3 = 66

078

– 066 → 22 x 3 = 66

012 → Remainder

As 20 is closer to 22 than 30, rewrite the divisor as 20
Similarly, 738 can be written as 700
Thus, a new equation is: 700 ÷ 20

20 )¯700 ( 35 → Quotient

– 60↓ _ →20 x 3 = 60

100

– 100 → 20 x 5 = 100

000 → No Remainder

With the estimation of dividend and the divisor, kids can easily find out the closest value of quotient in math puzzles.

Division with fractional values

As kids learn the division techniques for whole numbers and dividing the number by a multi-digit divisor (single digit and two-digit), learning the “division” by fractional values turns easy.

Following chart illustrates the multiple cases of the division with unit fractional values.

$Division with fractional value$

Divide a unit fraction by a whole

To divide a unit fraction by a whole number, illustration similar to a line plot is helpful in understanding the method.

For example, divide 1/7 by 3
Divide a line into 7 equal portions, further dividing each of them into 3 equal portions
The total number of portions can be calculated as:

÷ 3 ➔ X ➔ ➔
Unit multiplication property of multipliers is used to frame the equation

Reference image: To divide 1/7 by 3, divide 1/7 into 3 blocks each.

Divide whole by a unit fraction

As the numbers are interchanged, a case in which a dividend is a whole number and the divisor is a unit fraction, the “division” equation is similarly framed using the line plot. The only difference is in the numerator instead of the denominator.

For example, divide 3 by 1/5
Divide a line into 3 equal portions, further dividing each of them into 5 equal portions
The total number of portions can be calculated as:

3 ÷ ➔ 3 X ➔ ➔ ➔ 15
Unit multiplication property of multipliers is used to frame the equation

The problem can be visually observed as the total number of boxes contained within 3 units.

Reference image: To divide 3 by 1/5, count the number of blocks

Division in decimal arithmetic

The previous section illustrates the division of unit fractions by whole numbers and whole numbers by unit fractions. In decimal arithmetic, the division is performed by representing the decimal values in a fractional form with the denominator as a multiple of 10. The denominator is evaluated by the place value of decimal.

Following chart illustrates some examples of division problems involving decimal arithmetic.

Divide decimals by a multiple of 10

To divide a decimal number by a multiple of 10, adjustment in the place value of decimal is the first step. The decimal is adjusted to the left by one place with each 10.

Divide decimals by a whole

To divide a decimal number by a whole number, place value system to rewrite a decimal number is helpful in framing an easy division equation. Following the method of long division or short division as per the multi-digit divisor, an equation can be solved as illustrated in the example.

Decimal division

To divide a decimal number by another decimal number, division equations are framed with the knowledge of place value system and cancellation of base 10 multiples with each other. The concept is illustrated with an example for understanding the technique.

Application

“Division” operation using decimal arithmetic, unit fractions, and the multi-digit divisor is the foundation of learning measurement, data representation, and geometry. Also, in practical aspects, the concept is used widely for drawing maps, re-scaling measurements such as length and height proportionately, converting physical quantities like weight and capacity etc. to different units (metric and US customary) for easy interpretation.

SplashLearn Division Games Worksheets for Grade 5

The utility of basic math operations in learning advanced math concepts is evident from the complexity of word problems in grade-5. With the development of division skills to fractional and 2-digit divisors; kids understand and grasp the math involved in data representation, measurement and geometry and comprehension of “fair sharing model”.

Also, day-to-day math problems, strengthen the reasoning skill in kids. SplashLearn worksheets on “division”, comprising of puzzles, math riddles, single-step and multistep word problems are an ideal summer-vacation assistant to prevent the skill loss. Neatly planned pre-k curriculum garnered special appreciation from mentors engaged in home schooling. Start practicing the exciting math games today to boost confidence and excel in math.

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5th Grade Math: Division Games

Estimate Quotients Skills

Select the Expression to Estimate

Estimate the Quotient

Identify the First Digit of Quotients

Long Division Skills

Find the Quotient

Choose the Correct Divisor

Divide and Check the Remainder

Divide 3-digit Multiples of 10 and 100

All Division Skills

Choose the Number Divisible by the Given Number

Divide by Numbers from 2 to 5

Divide By Numbers that Lie Between 6 to 9

Divide When Dividend is Between 2 to 5

Complete the Division Solution Where Dividend is Between 6-9

Find the Quotient By Dividing 3-Digit Numbers by 1-Digit Numbers

Choose the Divisible Number

Use Long Division Method to Divide by Dividend Between 2 to 5

Fill in the Missing Numbers in the Solution

Complete the Division Solution

Complete the Long Division Solution

Divide 4-digit Multiples of 100

Choose the 4-Digit Number Divisible

Complete the Division Equation

Divide 4-Digit Numbers By 1-Digit Numbers

Complete the Division

Determine the Quotient

Complete the Division with Remainder

Determine the Quotient and the Remainder

Determine the Remainder

Identify the Number that is Divisible

Select the Division Expression

Find the Number of Groups

Divide Multiples of 10 and 100

Find the Dividend

Divide Using Patterns of Zeros

Complete the the Division Patterns

Divide Multiples of 100 and Find the Quotient

Solve Word Problems Related to Division

Divide Multiples of 10 by 1-Digit Numbers

Identify the Patterns of Zeros and Divide