New
New
Year 6

Using short and long division to divide by a 2-digit divisor

I can use short and long division to divide by a 2-digit divisor.

New
New
Year 6

Using short and long division to divide by a 2-digit divisor

I can use short and long division to divide by a 2-digit divisor.

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Lesson details

Key learning points

  1. Long division records the subtraction as a calculation underneath the dividend.
  2. Long division records the regrouping alongside the subtraction.
  3. There are similarities and differences between long and short division.

Keywords

  • Estimate - Estimate means to find a value that is close enough to the right answer, usually with some thought or calculation involved.

  • Long division - Long division is a method used for dividing large numbers by breaking the number down into smaller groups.

  • Remainder - A remainder is an amount left after a division.

Common misconception

Pupils may not unitise when using long division and make errors (e.g. when dividing 7 hundreds by 12).

Explain to pupils that they are looking for multiples of the divisor (1 hundred × 12 = 1,200). This becomes clearer when dividing the tens digits (6 tens × 12 = 72 tens).

Pupils need to have a good grasp of the 12 time tables before starting this session. Some mental mathematics around the 12 times table would provide useful practise before the session. It might also be advantageous to calculate multiples of ten (e.g. what is 10 × 12? 20 × 12? 50 × 12? etc)
Teacher tip

Equipment

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).

Lesson video

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6 Questions

Q1.
Match the key words to their definitions
Correct Answer:dividend,The amount that you want to divide.

The amount that you want to divide.

Correct Answer:divisor,The number we divide by.

The number we divide by.

Correct Answer:quotient,The result after division has taken place.

The result after division has taken place.

Q2.
Use 27 × 3 = 81 to calculate 27 × 6 =
Correct Answer: 162
Q3.
Calculate 840 ÷ 7 =
Correct Answer: 120
Q4.
Which expression could help to solve this problem?
An image in a quiz
2,340 ÷ 30
Correct answer: 234 ÷ 3
234 ÷ 30
2,340 ÷ 0.3
23,400 ÷ 30
Q5.
Which expressions could you use to solve this problem? Some tomatoes have a total mass of 1.44 kg. Each tomato has a mass of 80 g. How many tomatoes are there altogether?
Correct answer: 144 ÷ 8
Correct answer: 1,440 ÷ 80
144 ÷ 80
1,440 ÷ 8
144 x 8
Q6.
Sam’s mum takes part in an 2.7 km swimming race. She swims 60 m in one minute. How long will it take her to complete the race? minutes.
Correct Answer: 45

6 Questions

Q1.
Match the multiplication equations to related division facts.
Correct Answer:10 × 12 = 120,120 ÷ 10 = 12

120 ÷ 10 = 12

Correct Answer:2 × 12 = 24,24 ÷ 2 = 12

24 ÷ 2 = 12

Correct Answer:4 × 12 = 48,48 ÷ 4 = 12

48 ÷ 4 = 12

Correct Answer:20 × 12 = 240,240 ÷ 20 = 12

240 ÷ 20 = 12

Correct Answer:24 × 12 = 288,288 ÷ 24 = 12

288 ÷ 24 = 12

Q2.
Which part of the equation is written above the division frame?
An image in a quiz
dividend
divisor
Correct answer: quotient
factor
product
Q3.
How many hundreds have been regrouped?
An image in a quiz
12
24
Correct answer: 2
288
4
Q4.
What is the missing digit in this short division?
An image in a quiz
Correct Answer: 6
Q5.
Which of the following is a reasonable estimate for the following equation. 576 ÷ 12 =
30
40
Correct answer: 45
50
60
Q6.
Calculate the equation using long division. 576÷ 12 =
An image in a quiz
Correct Answer: 48