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Long division worksheets: three-digit by two-digit

Twenty long division problems with a three-digit dividend and a two-digit divisor, in the bracket, with remainders, in three versions with answer keys.

Long division: three digits ÷ two digits

NameDate

Divide. Write any remainder with R.

Sheet AFree at teach.peabody.kids

Long division: three digits ÷ two digits

NameDate

Divide. Write any remainder with R.

Sheet BFree at teach.peabody.kids

Long division: three digits ÷ two digits

NameDate

Divide. Write any remainder with R.

Sheet CFree at teach.peabody.kids

Answer key

Sheet A

  1. 21 R 28
  2. 26 R 10
  3. 19 R 9
  4. 20
  5. 19 R 18
  6. 16 R 5
  7. 20 R 14
  8. 43 R 12
  9. 23 R 31
  10. 22 R 5
  11. 9 R 14
  12. 18 R 12
  13. 15 R 22
  14. 5 R 18
  15. 11 R 8
  16. 21 R 1
  17. 10 R 18
  18. 21
  19. 12 R 11
  20. 16 R 10

Sheet B

  1. 43 R 8
  2. 17 R 8
  3. 18 R 30
  4. 4 R 4
  5. 12 R 24
  6. 17 R 2
  7. 43
  8. 16 R 16
  9. 54 R 3
  10. 72 R 9
  11. 17 R 2
  12. 15 R 36
  13. 31 R 18
  14. 17 R 8
  15. 17 R 8
  16. 15 R 4
  17. 7 R 25
  18. 42 R 13
  19. 14 R 8
  20. 8 R 32

Sheet C

  1. 25 R 17
  2. 66 R 9
  3. 10 R 19
  4. 41 R 13
  5. 13 R 7
  6. 16 R 12
  7. 24 R 15
  8. 19 R 22
  9. 39 R 4
  10. 6 R 11
  11. 13 R 6
  12. 27 R 23
  13. 17 R 18
  14. 29 R 26
  15. 19
  16. 8 R 33
  17. 37 R 17
  18. 24 R 7
  19. 28
  20. 8 R 39
Answer keyFree at teach.peabody.kids

Long division: 20 problems a sheet, 3 versions that do not repeat each other where the numbers allow.

How to use it

  1. Look at the sheet: it is a real, printable sheet. Switch between Sheet A, B and C, or press New numbers (N) for a fresh set.
  2. Change how many problems, how many versions, and whether the key prints. Settings stay in this browser; Share copies a link that rebuilds the same sheets.
  3. Press Print sheet A and key, or Print all. The answer key prints on its own page, so you can keep it back.

Ideas for class

  • Teach students to round the divisor to the nearest ten to guess each digit, then multiply by the real divisor to check it.
  • Make a small table of the first nine multiples of the divisor beside the problem. It removes the guessing in every step.
  • Always finish with the multiply-and-add check.

Related

Questions

Why are the divisors only up to 49?

The sheet keeps the divisor under 50 so that every quotient has at least two digits and the estimating steps are real. Four-digit dividends with two-digit divisors are another level in the maker.

How is this different from one-digit division?

The quotient digits cannot be found from the facts alone. Students must estimate, test and sometimes revise, which is why this method is taught as its own skill.

Are the answer keys checked?

Each answer is worked out by the code that wrote the problem, and our tests recompute every answer a second way and compare. Please still look over the key before you grade a class set.

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What this worksheet covers

A two-digit divisor is where long division becomes estimation. Each problem here divides a number from 100 to 999 by a divisor from 11 to 49, such as 938 ÷ 40, and many leave a remainder. Students have to estimate each digit of the quotient by rounding the divisor, check it, and sometimes correct it, which is the hard part of the method.

Who it is for

Fifth and sixth grade. Common Core 5.NBT.B.6 asks for quotients with up to four-digit dividends and two-digit divisors, and 6.NS.B.2 expects fluency by the end of sixth grade. Students should be secure with one-digit divisors first.

Dividing a three-digit number by a two-digit divisor · grades 5 and 6

A worked example

938 ÷ 40. 40 goes into 93 twice, so try 2. 2 × 40 is 80, which leaves 13. Bring down the 8 to make 138: 3 × 40 = 120, which leaves 18. The answer is 23 remainder 18.

Mistakes to watch for

  • Choosing a quotient digit that is too large, so the subtraction goes negative. Lower the digit and try again.
  • Choosing one that is too small, leaving a remainder larger than the divisor. Raise it by one and redo the step.

Make it your own

This sheet is one setting of the math worksheet generator. Open it there to change the skill, the range of numbers or the heading, or to mix several skills on one sheet.