Sharing is when a whole amount is split into equal parts or groups. We know the total number of objects and the number of parts it is split into, but we don't know how many are in each part.

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

Division is splitting into equal parts or groups.

Represent division by sharing with equations

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

Look at the division equation. Match the numbers to the description.

Look at the division and multiplication equations. What number is missing from both? {{ }}

Which equations could this number line represent?

Look at the bar model. Which equations could it represent?

What is the remainder when 30 pencils are shared between 7 children? 30 ÷ 7 = 4 r {{ }}

Use your multiplication facts to divide by sharing. 42 ÷ 9 = {{ }} r 6

There are 30 children. Which equal-sized groups could they get into without any children being left out?

Match the multiplication and division equations that represent the same number of groups.

Jun had 36 stickers. He could fit 6 stickers on each page of his book. How many pages did he fill with his stickers? {{ }} pages

Match the multiplication and division equations with remainders that could represent the same number of groups.

She can fill 4 plates and will have no cakes left over.

She can fill 4 plates and will have a remainder of 6 cakes. 

She can fill 5 plates and will have a remainder of 2 cakes.

Sofia has 38 cakes and each plate can hold 8 cakes. Which of these statements is correct?

Jun had 43 books. He could fit 5 books onto each shelf of his bookshelf. How many books would not fit onto a shelf? {{ }}

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

Represent division by sharing with equations

Lesson outcome

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