What this covers
Long Division is taught in Year 6 (age 10 to 11, KS2) as a topic to introduce. It sits in the Number strand.
Worked example
Calculate 78223
- 23 into 78 goes 3 times (3 × 23 = 69)
- 78 - 69 = 9; bring down 2 to make 92
- 23 into 92 goes exactly 4 times (4 × 23 = 92)
- 92 - 92 = 0; quotient is 34
Answer: 34
Difficulty scale
The sheet generator offers five difficulty settings for this topic.
- 3-digit dividend divided by teen divisor (11-19), exact answers
- 3-digit dividend divided by any 2-digit divisor, exact answers
- 4-digit dividend divided by 2-digit divisor, exact answers
- 4-digit dividend divided by 2-digit divisor, answers with integer remainders
- 4-digit dividend divided by 2-digit divisor, expressing answers as decimals
Common mistakes
- Misestimating the quotient digit, leading to negative subtractions or remainders larger than the divisor
- Bringing down multiple digits at once without recording a zero in the quotient
Curriculum links
Indicative matches to National Curriculum for England. Check wording and codes against the official document.
- Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division.