Division With Remainders

Division practice

Division problems that may have a remainder.

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About this practice

Each problem divides by a number from 2 to 12 and has something left over.

Enter the quotient first, then the remainder. The remainder is always at least 1 and always smaller than the divisor.

Typical level: Grade 4 and beyondIn the U.S. Common Core, Grade 4 students find whole-number quotients and remainders with one-digit divisors. This practice also uses divisors 10, 11 and 12. Curriculum timing varies.

Find the full groups, then what is left

Use a fact you know to find the closest multiple of the divisor that does not go over.

29 ÷ 6

= 6 × 4 = 24

The closest multiple of 6 that does not go over 29. 6 × 5 = 30 is too big.

= 29 − 24 = 5

What is left over is the remainder.

= 4 remainder 5
4 groups of 6 6 × 4 = 24 5 left over 1 short of another group

24 ÷ 6 = 4 is an exact division fact. 29 is 5 more than 24.

Check it: 6 × 4 + 5 = 29. The remainder, 5, is smaller than 6. If 6 or more were left over, another group would fit.