# Explain how the remainder relates to the divisor in a division equation

I can explain how the remainder relates to the divisor in a division equation.

# Explain how the remainder relates to the divisor in a division equation

I can explain how the remainder relates to the divisor in a division equation.

## Lesson details

### Key learning points

- In a division equation or problem, the remainder is always less than the divisor.
- We can decide if a division equation is incorrect by comparing the size of the remainder to the size of the divisor.

### Common misconception

Rather than using the largest multiple less than or equal to the dividend, children may identify the closest multiple (one that is too high) or one that is less than the dividend but is too low.

Add further examples using counters to explore patterns where one more is added to draw attention to the size of the remainder compared to the divisor. Draw number lines alongside these so children begin to also visualise in a more abstract way.

### Keywords

Dividend - The dividend is the whole amount to be divided into groups or divided into equal parts. It is what we are dividing.

Divisor - The divisor is the number in each group or the number of equal parts that the whole is divided into or between. It is what we are dividing by.

Remainder - A remainder is the amount left over after division when the dividend does not divide exactly by the divisor.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

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## Starter quiz

### 6 Questions

the largest multiple of 6 that is less than or equal to 56

the largest multiple of 8 that is less than or equal to 60

the largest multiple of 9 that is less than or equal to 71

## Exit quiz

### 6 Questions

6

6 r 1

6 r 3

6 r 5

6 r 6