New
New
Year 5

# Divide a 2-digit by a 1-digit number using partitioning (with regrouping)

I can divide a 2-digit by a 1-digit number using partitioning and representations (with regrouping).

New
New
Year 5

# Divide a 2-digit by a 1-digit number using partitioning (with regrouping)

I can divide a 2-digit by a 1-digit number using partitioning and representations (with regrouping).

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## Lesson details

### Key learning points

1. Partitioning the dividend into tens and ones helps when dividing a 2-digit by a 1-digit number.
2. If the dividend is not a multiple of the divisor, there will be a remainder.
3. If the remainder is a number of tens, you can regroup the tens for ones and continue to divide.

### Common misconception

Pupils not being able to regroup when dividing.

Use concrete resources to highlight regrouping of tens. Ask children 'What is the highest multiple you know?' to support with partitioning.

### Keywords

• Remainder - An amount left over after division.

• Partition / partitioning - Splitting a number into smaller parts.

• Regroup / regrouping - The process of unitising and exchanging between place values.

Draw special attention to the '10s' digit and ask children if that is a multiple of the divisor. Children are to understand the generalisation '10s' digit in the dividend is not a multiple of the divisor, they will have to regroup.
Teacher tip

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Starter quiz

### 6 Questions

Q1.
Look at the image. 63 is the ________ because it is the number we are dividing up.
product
Q2.
Andeep is working out: 56 ÷ 7. He can skip count in ___.
56
8
2
Q3.
Look at the image. Fill in the gap in the partial quotients.
Q4.
Select the correct partial quotients for this division equation: 96 ÷ 3 Use the part whole model to help you.
3 + 2
90 + 6
Q5.
Look at the part whole models. Which is the least helpful way to partition 42 when dividing by 2?
B
C
Q6.
An equilateral triangle has a total perimeter of 69 cm. What is the length of one side? cm
Correct Answer: 23, 23 cm, twenty three , Twenty-three

## Exit quiz

### 6 Questions

Q1.
33 ÷ 3 = 11 In this equation, 33 is the __________ because it is the number we are dividing into groups.
quotient
divisor
Q2.
I can make ___ groups of 6 ones from the dividend 54.
7
8
10
Q3.
Look at the picture. Izzy is calculating 42 ÷ 3. What should Izzy do next?
Correct answer: 10 ones + 2 ones = 12 ones
10 ones - 2 ones = 8 one
10 ones ÷ 3
10 ones + 3 tens
Q4.
Fill in the blank in the image which shows 90 ÷ 5. Write your answer in numeral form.
Q5.
Match the division equations to the correct instances of regrouping.
Correct Answer:30 ÷ 3 ,0 regroup

0 regroup

0 regroup

Correct Answer:42 ÷ 3,regroup 1 ten

regroup 1 ten

Correct Answer:75 ÷ 5,regroup 2 tens

regroup 2 tens

Q6.
Solve the following question: 92 ÷ 4. Record your calculation using an informal written method. Write your answer in numeral form.