WorksheetsAbout this worksheet
Division facts are the times tables turned around: 56 divided by 7 is 8 because 7 times 8 is 56. They always come out exactly. With a remainder gives sums such as 47 divided by 5, where the child writes the quotient and what is left over. 3 digits by 1 digit gives longer sums that divide exactly, for working by the long division method in a notebook.
What this skill is
Division is sharing equally or making equal groups. 24 sweets shared among 6 children, and 24 sweets packed 6 to a box, are both 24 divided by 6. It is the reverse of multiplication, so every division fact is a table fact read backwards. Long division repeats four small steps: divide, multiply, subtract, bring down.
A worked example
Take 372 ÷ 6.
- 6 does not go into 3, so look at 37. 6 sixes are 36. Write 6 above the 7.
- 37 − 36 = 1. Bring down the 2 to make 12.
- 6 goes into 12 exactly 2 times. Write 2 above the 2.
The answer is 62. Check by multiplying: 62 × 6 = 372.
With a remainder: 47 ÷ 5 is 9 remainder 2, because 5 × 9 = 45 and 47 − 45 = 2.
Tips for parents and teachers
- A child who is slow at division facts usually needs more table practice, not more division. Go back to the multiplication sheet for a few days.
- For remainders, teach the check: quotient times divisor, plus remainder, gives the first number.
- The remainder must always be smaller than the divisor. If it is not, the quotient is too small.
- Long division needs space. Let the child work in a squared notebook and copy only the answer to the sheet.
How to use this sheet at home and in class
- At home: begin with "Division facts". When they are quick, move to "With a remainder", and keep "3 digits by 1 digit" for a notebook day when there is time to work slowly.
- In class: pair this sheet with a table facts sheet from the multiplication page. Children who finish the first in good time are ready for the second.
- Ask for a story with each remainder sum now and then: 47 children, 5 to a bench, how many benches? Here the answer is 10, not 9. Remainders need thinking.
Mistakes to watch for
- A remainder as big as the divisor or bigger, such as 47 ÷ 5 = 8 remainder 7. It means one more group could have been made.
- Leaving out a zero in the answer. In 618 ÷ 6, after 6 into 6 the next step is 6 into 1, which is 0. The answer is 103, not 13.
- Writing the first answer digit in the wrong place. Each answer digit sits exactly above the last digit of the part that was divided.
What to try next
- Multiplication worksheets: if division facts are slow.
- Fractions worksheets: a fraction is a division waiting to be done.
- HCF and LCM worksheets: for classes 5 to 7.
Ready settings by class
Common questions
What do quotient and remainder mean?
The quotient is how many times the divisor fits in. The remainder is what is left. In 47 divided by 5, the quotient is 9 and the remainder is 2, because 5 times 9 is 45 and 2 are left.