Division Examples in Math

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÷b=ca \div b = c.

Answer

5 candies each

First step

1
Write the division: 20÷4=?20 \div 4 = ?

Full solution

  1. 2
    Think: how many 4s fit in 20? 4×5=204 \times 5 = 20.
  2. 3
    So 20÷4=520 \div 4 = 5.
  3. 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÷1177 \div 11 by recalling a multiplication fact.

Example 4

medium
Compute 97÷497 \div 4, giving quotient and remainder.

Example 5

hard
Find the smallest positive integer divisible by 22, 33, 55, and 77.

Practice Problems

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

Example 1

easy
What is 36÷936 \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÷624 \div 6.

Example 4

easy
Compute 35÷535 \div 5.

Example 5

easy
Compute 42÷742 \div 7.

Example 6

easy
Compute 15÷415 \div 4 (with remainder).

Example 7

easy
Compute 0÷80 \div 8.

Example 8

easy
Compute 56÷856 \div 8.

Example 9

easy
Compute 80÷1080 \div 10.

Example 10

easy
Compute 1÷41 \div 4.

Example 11

medium
Compute 144÷12144 \div 12.

Example 12

medium
Compute 156÷4156 \div 4.

Example 13

medium
8484 cookies are shared equally among 66 kids. How many cookies each?

Example 14

medium
Compute 250÷25250 \div 25.

Example 15

medium
Compute 720÷9720 \div 9.

Example 16

medium
148÷6148 \div 6 — find the quotient and remainder.

Example 17

medium
A car travels 312312 miles on 1212 gallons of gas. How many miles per gallon?

Example 18

medium
Compute 0.6÷0.20.6 \div 0.2.

Example 19

medium
Compute 3,000÷603{,}000 \div 60.

Example 20

challenge
What is the smallest whole number nn such that nn is divisible by 2,3,4,5,2, 3, 4, 5, and 66?

Example 21

challenge
A teacher distributes 5050 pencils among 77 students as evenly as possible. How many does each student get, and how many are left over?

Example 22

challenge
What is 10\frac{1}{0}? Why?

Example 23

easy
Compute 63÷963 \div 9.

Example 24

easy
Compute 48÷648 \div 6.

Example 25

easy
Compute 27÷327 \div 3.

Example 26

easy
Compute 100÷4100 \div 4.

Example 27

easy
Compute 9÷99 \div 9.

Example 28

medium
Compute 182÷7182 \div 7.

Example 29

medium
Compute 345÷5345 \div 5.

Example 30

medium
Compute 216÷8216 \div 8.

Example 31

medium
A van travels 456456 km on 1212 gallons of fuel. What is the fuel economy in km per gallon?

Example 32

medium
Compute 0.84÷0.40.84 \div 0.4.

Example 33

medium
Compute 2400÷402400 \div 40.

Example 34

medium
A pizzeria makes 138138 slices for 2323 people, each getting the same number. How many slices each?

Example 35

medium
Compute 169÷13169 \div 13.

Example 36

hard
Compute 4,536÷244{,}536 \div 24.

Example 37

hard
A factory ships 9,9129{,}912 items into boxes of 2424 each. How many full boxes, and how many items left over?

Example 38

hard
Compute 34÷18\frac{3}{4} \div \frac{1}{8}.

Example 39

hard
Convert 175\frac{17}{5} to a mixed number using division.

Example 40

hard
Compute 1.44÷1.21.44 \div 1.2.

Example 41

hard
If 360360 apples fill exactly 2424 baskets and a class wants 1818 baskets, how many apples are needed?

Example 42

challenge
What is the remainder when 20242024 is divided by 77?
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Background Knowledge

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

multiplicationsubtraction