What these worksheets practise
Division splits a number into equal groups. means 84 split into 7 equal groups gives 12 in each group. When a number does not divide evenly, something is left over: the remainder.
The answer sheet shows each answer two ways: as a decimal rounded to three places, and as the quotient and
remainder in parentheses. For example, is written 15.667 (15...2), meaning 15 with a
remainder of 2. Students who have not met decimals yet can use the part in parentheses.
Worked examples
Exact division:
, so with no remainder.
With a remainder:
The largest multiple of 3 that fits into 47 is . The remainder is .
Long division:
Divide one digit at a time: 7 ÷ 6 is 1 remainder 1; bring down 4 to make 14, which is 2 remainder 2; bring down 5 to make 25, which is 4 remainder 1.
Check your answers
Multiply the quotient by the divisor and add the remainder: .
Common mistakes
- A remainder that is too big. cannot be right, because 5 is more than 3: one more group fits.
- Writing the remainder as a decimal. 15 remainder 2 is not 15.2; as a decimal it is about 15.667.
- Forgetting a zero in the quotient. When a brought-down number is smaller than the divisor, write 0 in the quotient before moving on.
- Dividing the wrong way round. and are different questions.
A practice path through the settings
- Small divisors. Set the first number to 2 digits and give the second number a Max Value of 5, so every divisor is between 2 and 5.
- All one-digit divisors. Set the second Max Value back to 9. About three problems in four have a remainder, which keeps students checking how many groups really fit.
- Three digits divided by one digit. Long division: divide, multiply, subtract and bring down, one digit at a time.
- Two-digit divisors. Three digits divided by two digits, where estimating each quotient digit becomes the main skill.
Multiplication facts are the foundation here; if division is slow, a few days on the multiplication worksheets usually helps more than more division pages.
Sample problems
These problems come from the same generator as the worksheet above. Press Generate for a fresh set.
2-digit and 1-digit numbers
3-digit and 1-digit numbers
3-digit and 2-digit numbers
Show answers
- 4.667 (4...6)
- 21.5 (21...1)
- 256.333 (256...1)
- 36.875 (36...7)
- 6.093 (6...4)
- 4.722 (4...70)
Tips for teachers and parents
- Division facts are multiplication facts in reverse; students who know their times tables find division much easier.
- Sharing objects into equal groups (and seeing what is left over) is the best introduction to remainders.
- Checking by multiplication makes every problem self-marking.