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Long division

Work through long division and check the remainder.

Practice + answer key · 2 pages

Worksheet settings8 questions · 2 columns · A4
Dividend range

These bounds control only the dividend. Divisors use the fixed range 2–12.

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Long divisionLong division. Practice. Divide 640 ÷ 8. Give the quotient and remainder. Divide 114 ÷ 12. Give the quotient and remainder. Divide 199 ÷ 3. Give the quotient and remainder. Divide 907 ÷ 4. Give the quotient and remainder. Divide 184 ÷ 11. Give the quotient and remainder. Divide 572 ÷ 10. Give the quotient and remainder. Divide 904 ÷ 12. Give the quotient and remainder. Divide 840 ÷ 2. Give the quotient and remainder.Name __________________________Date _______________Long divisionFind the quotient and remainder for each division.Worked exampleDivide 157 ÷ 12. → 13 R 112 goes into the leading 15 once, leaving 3.1.Divide 640 ÷ 8. Give the quotientand remainder.2.Divide 114 ÷ 12. Give thequotient and remainder.3.Divide 199 ÷ 3. Give the quotientand remainder.4.Divide 907 ÷ 4. Give the quotientand remainder.5.Divide 184 ÷ 11. Give thequotient and remainder.6.Divide 572 ÷ 10. Give thequotient and remainder.7.Divide 904 ÷ 12. Give thequotient and remainder.8.Divide 840 ÷ 2. Give the quotientand remainder.MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 1mathsprig-1 · mathsprig-v1 · d335d7a5
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Practice + answer key · 2 pages

Arithmetic

What you’ll practice

Find a whole-number quotient and remainder, then check them by multiplication and addition.

Divide, multiply, subtract and bring down the next digit. Repeat until every digit has been used, then check that the remainder is smaller than the divisor.

How this skill works

At each stage, divide the current amount, record one quotient digit, multiply back and subtract. Bring down the next dividend digit to continue.

The final remainder must be smaller than the divisor. Check the result with divisor × quotient + remainder = dividend.

Worked example

Divide 157 ÷ 12.
  1. 12 goes into the leading 15 once, leaving 3.
  2. Bring down 7 to make 37; 12 goes into 37 three times, leaving 1.
  3. Check: 12 × 13 + 1 = 157.

Answer: 13 R 1

Teaching notes

  • Preserve a zero quotient digit when it occurs between nonzero digits.
  • Always compare the final remainder with the divisor.
Practice questions
  1. Divide 640 ÷ 8. Give the quotient and remainder.
  2. Divide 114 ÷ 12. Give the quotient and remainder.
  3. Divide 199 ÷ 3. Give the quotient and remainder.
  4. Divide 907 ÷ 4. Give the quotient and remainder.
  5. Divide 184 ÷ 11. Give the quotient and remainder.
  6. Divide 572 ÷ 10. Give the quotient and remainder.
  7. Divide 904 ÷ 12. Give the quotient and remainder.
  8. Divide 840 ÷ 2. Give the quotient and remainder.
Answers and steps
  1. 80 R 0
    1. Bring down 6 to make 6. 6 ÷ 8 gives 0; subtract 0 to leave 6.
    2. Bring down 4 to make 64. 64 ÷ 8 gives 8; subtract 64 to leave 0.
    3. Bring down 0 to make 0. 0 ÷ 8 gives 0; subtract 0 to leave 0.
    4. Check: 8 × 80 + 0 = 640; the remainder is smaller than 8.
  2. 9 R 6
    1. Bring down 1 to make 1. 1 ÷ 12 gives 0; subtract 0 to leave 1.
    2. Bring down 1 to make 11. 11 ÷ 12 gives 0; subtract 0 to leave 11.
    3. Bring down 4 to make 114. 114 ÷ 12 gives 9; subtract 108 to leave 6.
    4. Check: 12 × 9 + 6 = 114; the remainder is smaller than 12.
  3. 66 R 1
    1. Bring down 1 to make 1. 1 ÷ 3 gives 0; subtract 0 to leave 1.
    2. Bring down 9 to make 19. 19 ÷ 3 gives 6; subtract 18 to leave 1.
    3. Bring down 9 to make 19. 19 ÷ 3 gives 6; subtract 18 to leave 1.
    4. Check: 3 × 66 + 1 = 199; the remainder is smaller than 3.
  4. 226 R 3
    1. Bring down 9 to make 9. 9 ÷ 4 gives 2; subtract 8 to leave 1.
    2. Bring down 0 to make 10. 10 ÷ 4 gives 2; subtract 8 to leave 2.
    3. Bring down 7 to make 27. 27 ÷ 4 gives 6; subtract 24 to leave 3.
    4. Check: 4 × 226 + 3 = 907; the remainder is smaller than 4.
  5. 16 R 8
    1. Bring down 1 to make 1. 1 ÷ 11 gives 0; subtract 0 to leave 1.
    2. Bring down 8 to make 18. 18 ÷ 11 gives 1; subtract 11 to leave 7.
    3. Bring down 4 to make 74. 74 ÷ 11 gives 6; subtract 66 to leave 8.
    4. Check: 11 × 16 + 8 = 184; the remainder is smaller than 11.
  6. 57 R 2
    1. Bring down 5 to make 5. 5 ÷ 10 gives 0; subtract 0 to leave 5.
    2. Bring down 7 to make 57. 57 ÷ 10 gives 5; subtract 50 to leave 7.
    3. Bring down 2 to make 72. 72 ÷ 10 gives 7; subtract 70 to leave 2.
    4. Check: 10 × 57 + 2 = 572; the remainder is smaller than 10.
  7. 75 R 4
    1. Bring down 9 to make 9. 9 ÷ 12 gives 0; subtract 0 to leave 9.
    2. Bring down 0 to make 90. 90 ÷ 12 gives 7; subtract 84 to leave 6.
    3. Bring down 4 to make 64. 64 ÷ 12 gives 5; subtract 60 to leave 4.
    4. Check: 12 × 75 + 4 = 904; the remainder is smaller than 12.
  8. 420 R 0
    1. Bring down 8 to make 8. 8 ÷ 2 gives 4; subtract 8 to leave 0.
    2. Bring down 4 to make 4. 4 ÷ 2 gives 2; subtract 4 to leave 0.
    3. Bring down 0 to make 0. 0 ÷ 2 gives 0; subtract 0 to leave 0.
    4. Check: 2 × 420 + 0 = 840; the remainder is smaller than 2.