New
New
Dividing by a 2-digit divisor with a remainder
I can divide by a 2-digit divisor and find the remainder.
Lesson 12 of 15
New
New
- Year 6
Dividing by a 2-digit divisor with a remainder
I can divide by a 2-digit divisor and find the remainder.
Lesson details
Key learning points
- A remainder is always less than the divisor.
- The remainder, the part left over, is written after the quotient and represented with an ‘r’.
- Listing multiples of the divisor improves efficiency and accuracy with written division methods.
Keywords
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 make efficient use of multiplication facts when answering long division problems, especially 10 or 100 times the divisor.
Encourage pupils to make estimations using multiplication facts. Once the multiplication facts are completed, they could be used to ask quick-fire questions (e.g. what is 20 × 18? 50 × 18? 200 × 18?)
In this lesson, pupils calculate using long division and find the quotient and the remainder. The remainder is used to describe the part left over. Decide in advance how you would like this to be represented e.g. 'r3'.
Teacher tip
Equipment
Licence
This content is © Oak National Academy Limited (2025), 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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Prior knowledge starter quiz
6 Questions
Q1.Complete the equation: 13 ÷ 4 = 3 r
Complete the equation: 13 ÷ 4 = 3 r
Q2.Complete the equation: 386 ÷ 6 = If there is a remainder, write this using r
Complete the equation: 386 ÷ 6 = If there is a remainder, write this using r
Q3.Select equivalent expressions with a product of 36
Select equivalent expressions with a product of 36
2 × 9 × 4
9 × 2 × 3
Q4.How could 1,008 be divided by 36?
How could 1,008 be divided by 36?
Divide 1,008 by 2 then divide by 3 then divide by 4
Q5.Complete the missing expression from the box below
Complete the missing expression from the box below
Q6.Calculate the equation using long division.
Calculate the equation using long division.
Assessment exit quiz
6 Questions
Q1.What is the missing label in this division equation?
What is the missing label in this division equation?
product
factor
expression
answer
Q2.Without calculating, select the expressions that will have a remainder.
Without calculating, select the expressions that will have a remainder.
1,000 ÷ 2
1,000 ÷ 4
1,000 ÷ 5
Q3.Match the division equations to their quotients
Match the division equations to their quotients
Q4.Match the division equations to their remainders
Match the division equations to their remainders
Q5.Which of the following is a reasonable estimate for the following equation. 7,526 ÷ 32 =
Which of the following is a reasonable estimate for the following equation. 7,526 ÷ 32 =
100
200
350
500
Q6.Calculate the equation using long division. If there is a remainder, write it using r.
Calculate the equation using long division. If there is a remainder, write it using r.
