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.

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

Use knowledge of division equations and remainders to solve problems

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

Pencils are put into pots of 7    Which of the total number of pencils won’t divide equally into pots of 7?

When dividing 21 into equal groups, which group size will give a remainder?

Jun has fewer that 40 counters. When divided into groups of 7 there are no remainders and when divided into groups of 5 there are no remainders. How many counters must Jun have? {{ }}

Complete the sentence. If the dividend in a calculation is not a multiple of the divisor, 

Which of the following will not have a remainder?

Which of these numbers will have a remainder when the divisor is 8?

58 books are sorted onto 9 shelves in the classroom. Are there any books left over?

We know that multiples of 6 are even and have a digit sum that is divisible by 3    Which of these numbers will have a remainder when divided by 6?

We know that multiples of 4 must be even and, if halved, will reach an even number.  Which of these numbers will have a remainder when divided by 4?

This lesson will soon be taken down.

Use knowledge of division equations and remainders to solve problems

Lesson outcome