New
New
Year 5

# Divide a 3-digit by a 1-digit number using partitioning and representations (no remainders)

I can divide a 3-digit by a 1-digit number using partitioning and representations (no remainders).

New
New
Year 5

# Divide a 3-digit by a 1-digit number using partitioning and representations (no remainders)

I can divide a 3-digit by a 1-digit number using partitioning and representations (no remainders).

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## Lesson details

### Key learning points

1. Partitioning the dividend into hundreds, tens and ones helps when dividing a 3-digit by a 1-digit number.
2. Use times tables and unitising to divide the hundreds, tens and ones by the divisor.
3. Place value resources can represent the division.

### Common misconception

Lack of understanding of place value may lead to the rise of incorrect partial quotients.

Encourage children to identify what each digit represents. If misconceptions persist - use place value counters to divide by skip counting.

### Keywords

• Dividend - The dividend is the amount that you want to divide.

• Divisor - A divisor is the number we divide by.

• Partial quotient - A partial quotient is seen when the dividend is partitioned.

• Partition - Partition means splitting an object or value down into smaller parts.

• Quotient - A quotient is the result after division has taken place. It is the whole number part.

Now that pupils are moving onto a 3-digit divided by a 1-digit number, continue to focus on using skip counting to build multiplicative reasoning. Encourage children to rehearse the stem sentences after you.
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.
Identify the multiples of 9
26
35
Q2.
Izzy is working out: 84 ÷ 4. She can skip count in ___s.
3
5
Q3.
Q4.
Which partitioning of 56 shown would be most efficient to solve: 56 ÷ 4?
A
C
Q5.
Use the partitioning strategy to solve: 42 ÷ 3. Write your answer in numeral form.
Q6.
Use the partitioning strategy to solve this question: A square has a total perimeter of 80 cm. What is the length of one side ? Write your answer in numeral form.
Correct Answer: 20 , 20 cm, 20cm

## Exit quiz

### 6 Questions

Q1.
Identify the multiples of 6.
13
106
Q2.
Izzy is working out: 669 ÷ 3. She can skip count in s.
2
4
Q3.
Fill in the gap in this layout for division.
Q4.
Which partitioning would be most efficient to solve: 848 ÷ 4?
A