Division Examples: 47 Problems with Answers

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Division.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.

Concept Recap

Splitting a quantity into equal parts, or finding how many times one number fits into another. Division answers two questions: 'How many in each group?' and 'How many groups?'

Sharing 12 cookies equally among 4 friends—each gets 3. Or: how many groups of 4 fit into 12?

Read the full concept explanation →

How to Use These Examples

Read the first worked example with the solution open so the structure is clear.
Try the practice problems before revealing each solution.
Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: Division answers either "how many in each group?" or "how many groups?"

Common stuck point: The procedure for division is the easy part; the trap is dividing because the problem says "each". Asking "Is there a total being broken into equal parts?" first is what keeps a correct-looking calculation from being attached to the wrong concept.

Sense of Study hint: Ask: Is there a total being broken into equal parts?

Worked Examples

Example 1

easy

You have 20 candies to share equally among 4 friends. How many candies does each friend get? Use

a \div b = c

Answer

5 candies each

First step

Write the division:

20 \div 4 = ?

Full solution

2
Think: how many 4s fit in 20? $4 \times 5 = 20$ .
3
So $20 \div 4 = 5$ .
4
Each friend gets 5 candies.

Division splits a total into equal groups. 20 candies ÷ 4 friends = 5 candies per friend.

Example 2

medium

A baker has 56 muffins to put into boxes of 8. How many boxes does she need?

Example 3

easy

Compute

77 \div 11

by recalling a multiplication fact.

Example 4

medium

Compute

97 \div 4

, giving quotient and remainder.

Example 5

hard

Find the smallest positive integer divisible by

2

3

5

, and

7

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

easy

What is

36 \div 9

Example 2

medium

A school buys 72 pencils to give 9 pencils to each classroom. How many classrooms receive pencils?

Example 3

easy

Compute

24 \div 6

Example 4

easy

Compute

35 \div 5

Example 5

easy

Compute

42 \div 7

Example 6

easy

Compute

15 \div 4

(with remainder).

Example 7

easy

Compute

0 \div 8

Example 8

easy

Compute

56 \div 8

Example 9

easy

Compute

80 \div 10

Example 10

easy

Compute

1 \div 4

Example 11

medium

Compute

144 \div 12

Example 12

medium

Compute

156 \div 4

Example 13

medium

84

cookies are shared equally among

6

kids. How many cookies each?

Example 14

medium

Compute

250 \div 25

Example 15

medium

Compute

720 \div 9

Example 16

medium

148 \div 6

— find the quotient and remainder.

Example 17

medium

A car travels

312

miles on

12

gallons of gas. How many miles per gallon?

Example 18

medium

Compute

0.6 \div 0.2

Example 19

medium

Compute

3{,}000 \div 60

Example 20

challenge

What is the smallest whole number

n

such that

n

is divisible by

2, 3, 4, 5,

and

6

Example 21

challenge

A teacher distributes

50

pencils among

7

students as evenly as possible. How many does each student get, and how many are left over?

Example 22

challenge

What is

\frac{1}{0}

? Why?

Example 23

easy

Compute

63 \div 9

Example 24

easy

Compute

48 \div 6

Example 25

easy

Compute

27 \div 3

Example 26

easy

Compute

100 \div 4

Example 27

easy

Compute

9 \div 9

Example 28

medium

Compute

182 \div 7

Example 29

medium

Compute

345 \div 5

Example 30

medium

Compute

216 \div 8

Example 31

medium

A van travels

456

km on

12

gallons of fuel. What is the fuel economy in km per gallon?

Example 32

medium

Compute

0.84 \div 0.4

Example 33

medium

Compute

2400 \div 40

Example 34

medium

A pizzeria makes

138

slices for

23

people, each getting the same number. How many slices each?

Example 35

medium

Compute

169 \div 13

Example 36

hard

Compute

4{,}536 \div 24

Example 37

hard

A factory ships

9{,}912

items into boxes of

24

each. How many full boxes, and how many items left over?

Example 38

hard

Compute

\frac{3}{4} \div \frac{1}{8}

Example 39

hard

Convert

\frac{17}{5}

to a mixed number using division.

Example 40

hard

Compute

1.44 \div 1.2

Example 41

hard

360

apples fill exactly

24

baskets and a class wants

18

baskets, how many apples are needed?

Example 42

challenge

What is the remainder when

2024

is divided by

7

← Back to Division Formula Explained Practice Mode

Related Concepts

Multiplication Subtraction Fractions Ratios

Background Knowledge

These ideas may be useful before you work through the harder examples.

multiplicationsubtraction