The quotient is the result after the division has taken place.

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

Decide what to do with the answer to a division calculation to solve a problem

Maths

In this unit pupils will interpret a division story with a remainder representing it with an equation. They will explain how the remainder relates to the divisor. In the future unit pupils will divide a 2-digit number by a single-digit number using partitioning and representations with exchanging and remainders. They will divide a 2-digit number by a single-digit number using short division .

In the prior unit pupils explained how each part of a multiplication and division equation related to a story. They partitioned one of the factors in a multiplication equation in different ways using representations. In this unit pupils will interpret a division story with a remainder representing it with an equation. They will explain how the remainder relates to the divisor.

Division with remainders

Sofia has 27 apples and is putting them into boxes of 4 apples. How many boxes will she need for all of her apples?

58 ÷ 8 = 7 r 2     This equation represents a division problem. Which of the following would be possible answers to the problem?

There are 70 children at the school picnic. Each picnic table seats 6 children. How many tables are needed so that all children can sit down? 

Sofia shares 60 strawberries equally between her 9 friends. How many strawberries do they each receive?

In an art lesson, 45 children need a paint brush. Brushes come in packs of 8     How many full packs are needed for all children to have a paintbrush? {{ }}

Children are put into groups of 12 for a relay race. If there are 100 children, how many full teams of 12 are there? {{ }}

Balls are put into buckets of 9. Which of the following totals won’t divide equally into pots of 9?

When dividing 28 into equal groups, which group size will give a remainder?

Jun has fewer that 45 counters. When divided into groups of 6, there are no remainders and when divided into groups of 7 there are no remainders. How many counters must Jun have? {{ }}

This lesson will be removed by end of Summer Term 2025.

Decide what to do with the answer to a division calculation to solve a problem

Lesson outcome

This lesson will be removed by end of Summer Term 2025.