New
New
Year 5

# Divide a 2-digit number using short division (with regrouping and remainders)

I can divide a 2-digit by a 1-digit number using short division (with regrouping and remainders).

New
New
Year 5

# Divide a 2-digit number using short division (with regrouping and remainders)

I can divide a 2-digit by a 1-digit number using short division (with regrouping and remainders).

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## Lesson details

### Key learning points

1. If the tens number is not a multiple of the divisor then the remainder is recorded next to the ones digit.
2. If there is a remainder after dividing the tens digit the tens are exchanged and the ones digit becomes a 2-digit number
3. If the number of ones, including any exchanged tens, is not a multiple of the divisor, there will be a remainder.

### Common misconception

Working through algorithmically without having an understanding of the regrouped amount.

Clear modelling with PVC. Ask children 'What does this number represent?'. Continue to use sentence stems.

### Keywords

• Remainder - A remainder is an amount left over after division (happens when the first number does not divide exactly by the other).

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

At this stage it is important to highlight that if the ones is not a multiple of the divisor, there will be a remainder. Encourage children to think about whether short division is the most efficient strategy compared to mental strategies.
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.
Select the multiples of six.
1
76
Q2.
The number is the dividend because that is the number we are dividing. Write your answer in numeral form.
Q3.
Look at the short division. tens have been regrouped.
9
5
3
1
Q4.
Using short division, solve the division equation: 77 ÷ 3. Write your answer in numeral form using r if you have a remainder.
Correct Answer: 25 r 2, 25r2, 25 r2, 25r 2
Q5.
Match the short division with the correct amount of 10s regrouped.
Correct Answer:55 ÷ 6,5 regrouped tens

5 regrouped tens

0 regroup

Correct Answer:75 ÷ 6,1 regrouped ten

1 regrouped ten

Correct Answer:85 ÷ 6,2 regrouped tens

2 regrouped tens

Q6.
Solve this equation using short division: Oil is stored in barrels that have a capacity of 5 litres. How many barrels can be filled with 76 litres of honey? Write your answer in numeral form using r.
Correct Answer: 15 r 1, 15r1, 15r 1, 15 r1

## Exit quiz

### 6 Questions

Q1.
Select the multiples of 5.
9
Q2.
Look at the short division. Pick the statement that is incorrect.
It means a remainder of three.
It means there are three left over or three extra.
Correct answer: It means 75 is a multiple of six.
It represents three ones.
Q3.
Which of these statements is correct for this short division?
Correct answer: The quotient is 14 with a remainder of 1
The quotient is 43 with a remainder of 1
The quotient is 41 with a remainder of 3
Q4.
Use short division to calculate: 95 ÷ 6. Write your answer in numeral form using r if you have a remainder.
Correct Answer: 15 r 5, 15r5, 15r 5, 15 r5
Q5.
Use short division to calculate: 86 ÷ 6. Write your answer in numeral form using r if you have a remainder.
Correct Answer: 14 r 2, 14r2, 14r 2, 14 r2
Q6.
Use short division to solve the word problem: Andeep has 49 marbles. He wants to share them between 3 of his friends. How many marbles will each friend get?
Correct Answer: 16 r 1, 16r1, 16r 1, 16 r1