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 equal groups fit into a total amount.

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 is the inverse of multiplication—it undoes scaling and gives the missing factor.

Common stuck point: Division by zero is undefined—you can't split into zero groups.

Sense of Study hint: Ask yourself: what number times the divisor gives me the dividend? Use multiplication facts backwards.

Worked Examples

Example 1

easy
You have 20 candies to share equally among 4 friends. How many candies does each friend get? Use \(a \div b = c\).

Solution

  1. 1
    Write the division: \(20 \div 4 = ?\)
  2. 2
    Think: how many 4s fit in 20? \(4 \times 5 = 20\).
  3. 3
    So \(20 \div 4 = 5\).
  4. 4
    Each friend gets 5 candies.

Answer

5 candies each
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?

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?

Background Knowledge

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

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