What is a remainder? Simple Definition and Examples

Definition

A remainder is what is left over when one number does not divide exactly into another.

Example

47 ÷ 5 = 9 remainder 2, because 5 × 9 = 45 and 2 is left.

Tip

The remainder is always smaller than the number you divide by.

Practise it

Worksheets: Division with remainders (Grade 4)
Online maths practice

Quick check: try these

Work each one out on paper, then tap the question to see the answer.

74 ÷ 7 =
Answer: 10 R 4
7 ÷ 2 =
Answer: 3 R 1
31 ÷ 7 =
Answer: 4 R 3
54 ÷ 7 =
Answer: 7 R 5
27 ÷ 5 =
Answer: 5 R 2
22 ÷ 7 =
Answer: 3 R 1

Related words

Factor, Multiple

FAQ

Remainder: questions

What is a remainder?

A remainder is what is left over when one number does not divide exactly into another. 47 ÷ 5 = 9 remainder 2, because 5 × 9 = 45 and 2 is left.

What is a common mistake with remainder?

The remainder is always smaller than the number you divide by.

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