Grouping is when we divide a number of objects into equal groups. We know the total number of objects and the number of objects in each group, but we do not know how many equal groups there are.

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

Division means splitting into equal parts or groups. ___ is divided into groups of ___

Represent division by grouping with multiplication and addition equations

Maths

Solve division problems involving grouping, including those with remainders

Represent division by sharing with equations

Solve division problems involving sharing, including those with remainders

Use multiplication facts to answer division questions

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

Identify when there will be a remainder

Use knowledge of division equations and remainders to solve problems

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

Use knowledge of division to solve problems

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.

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

Division means splitting into equal parts or groups

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.

Division is splitting into equal parts or groups.

Grouping is when we divide a number of objects into equal groups. We know the total number of objects and the number of objects in each group, but we don't know how many equal groups there are.

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

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.

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

Primary

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

Secondary

Year 7

Year 8

Year 9

Year 10

Year 11

Who we are

Leadership

Board

Partners

Work with us

Contact us

Plan a lesson

Support your team

Blogs

Webinars

Help

Art and design

Computing

Cooking and nutrition

Design and technology

Drama

English

Financial education

Geography

History

Music

Physical education

Religious education

RSHE (PSHE)

Science

French

Spanish

Expressive arts and design

Literacy

Personal, social and emotional development

Understanding the world

EYFS

Citizenship

German

Latin

Biology

Chemistry

Citizenship (Core)

Citizenship (GCSE)

Combined science

Computing (Core)

Computer Science (GCSE)

Physical education (Core)

Physical education (GCSE)

Physics

Division with remainders

Choose a lesson (10)