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

Represent division by grouping with multiplication and addition equations

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

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

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? {{ }}

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

Lesson outcome