# Division with remainders

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## Lesson details

### Key learning points

- In this lesson, we will explore how to interpret remainders in the context of a problem. We will begin with very simple numbers we can calculate mentally, reasoning whether the answer needs to be rounded to the next whole number or not before moving onto numbers suited to a short division strategy.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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### 5 Questions

Q1.

When using short division, knowledge of factors allow us to work efficiently and securely. Which number would make each of the following number statements complete?

3

4

6

Q2.

Which estimation would be most appropriate for the following problem: 'There are an equal number of bronze, silver and gold medals. There are 443 medals in total. How many gold medals are there?'

420

480

Q3.

Mr Ward has spotted a mistake in the calculation below. But can you spot what it is?

Dividing in the hundreds column

Dividing in the units column

Representing the remainders

Q4.

When doing a division calculation, the result or answer is also widely known as....

the dividend

the divisor

the product

Q5.

When calculating a division equation, the number we are dividing by is also commonly referred to as....

the dividend

the factor

the main part

### 5 Questions

Q1.

Taxis from the Olympic village to the arena can hold a maximum of 4 passengers. There are 42 people, how many taxis are needed?

10

12

Q2.

Tickets for the Day 3 of the Olympic Swimming events is £12. Daniel has £100 in his wallet. How many tickets can he buy for him and his friends?

10

9

Q3.

Which word problem would it be appropriate to round up the remainder to the following calculation? 620 ÷ 11 = 56 r 4

Each row in the gymnastics area holds 11 people. How many people were left sitting on a row that wasn't full?

Each row in the gymnastics arena holds 11 people. How many full rows will there be when 620 people watched on Saturday?

Q4.

The apartments in the Olympic village hold four people each. 25 apartments were required in total. Which calculation would provide us with an appropriate answer to solve the problem?

182 ÷ 8 =

46 ÷ 2 =

95 ÷ 4 =

Q5.

Olympic T-shirts are packed into boxes of 12. How many full boxes can be packed for the 748 t-shirts produced in the factory today?

60

63

65