New
New
Year 6

Dividing by a 2-digit divisor including using long division

I can divide by a 2-digit divisor including using long division.

New
New
Year 6

Dividing by a 2-digit divisor including using long division

I can divide by a 2-digit divisor including using long division.

Lesson details

Key learning points

  1. Different strategies can be used to solve division problems.
  2. Multiplication facts are really useful in solving division problems.
  3. Known facts and place value can help to estimate the answer to a long 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 struggle to set out the long division algorithm correctly.

Use the modelling from the lesson to focus on this, especially when writing multiples of the divisor (e.g. 3 tens × 17 = 51 tens) and subtracting this from the dividend.

In this lesson, pupils will be dividing a 3-digit number by a 2-digit number outside of multiplication tables. However, they can use known or easily derived facts to help them (e.g. 2×, 4×, 5× and 10×). Discuss with pupils methods for multiplying by 30 or 40 (e.g. ×4 then ×10 or ×10 then ×4).
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 multiplication equations to related division facts.
Correct Answer:5 × 8 = 40,40 ÷ 8 = 5

40 ÷ 8 = 5

Correct Answer:2 × 8 = 16,16 ÷ 2 = 8

16 ÷ 2 = 8

Correct Answer:20 × 8 = 160,160 ÷ 8 = 20

160 ÷ 8 = 20

Correct Answer:10 × 8 = 80,80 ÷ 10 = 8

80 ÷ 10 = 8

Correct Answer:25 × 8 = 200,200 ÷ 25 = 8

200 ÷ 25 = 8

Q2.
Match the division expressions to their quotients.
Correct Answer:210 ÷ 7,30

30

Correct Answer:560 ÷ 8,70

70

Correct Answer:630 ÷ 90,7

7

Correct Answer:630 ÷ 70,9

9

Correct Answer:560 ÷ 70,8

8

Q3.
Complete the following equation using short division. 672 ÷ 12 =
An image in a quiz
Correct Answer: 56
Q4.
What is the missing working from this algorithm?
An image in a quiz
Correct answer: 4 tens × 12
8 tens × 12
4 ones × 12
12 ones × 4
12 tens × 4
Q5.
Which of the following is a reasonable estimate for the following equation 432 ÷ 12 =
30
40
Correct answer: 35
20
25
Q6.
Calculate the equation using long division. 432 ÷ 12 = ___
An image in a quiz
Correct Answer: 36

6 Questions

Q1.
Use the multiplication facts in the table to derive 40 × 13 =
An image in a quiz
Correct Answer: 520
Q2.
Use the multiplication facts in the table to derive 15 x 13 =
An image in a quiz
Correct Answer: 195
Q3.
Match the equations to their products.
Correct Answer:1 × 17 = ,17

17

Correct Answer:2 × 17 = ,34

34

Correct Answer:4 × 17 = ,68

68

Correct Answer:5 × 17 =,85

85

Correct Answer:10 × 17 =,170

170

Q4.
If I know 17 × 5 = 85, I also know that 17 × 50 =
Correct Answer: 850
Q5.
Which of the following is a reasonable estimate for the following equation 918 ÷ 17 =
Correct answer: 55
50
65
60
45
Q6.
Calculate the equation using long division. 918 ÷ 17 =
An image in a quiz
Correct Answer: 54