Free · Grade 4 to Grade 5 · Answer keys
Long division worksheets
Long division worksheets with the problems set out in the division bracket and room to work below each one. Levels go from 2-digit by 1-digit up to 4-digit by 2-digit, without and with remainders, and every sheet ends with an answer key that shows each step.
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- Long division: 2-digit by 1-digit
12 2-digit by 1-digit long division problems that divide exactly, set out with room to work. Free PDF with a step-by-step answer key.
- Long division: 2-digit by 1-digit, with remainders
12 2-digit by 1-digit long division problems with remainders, set out with room to work. Free PDF with a step-by-step answer key.
- Long division: 3-digit by 1-digit
12 3-digit by 1-digit long division problems that divide exactly, set out with room to work. Free PDF with a step-by-step answer key.
- Long division: 3-digit by 1-digit, with remainders
12 3-digit by 1-digit long division problems with remainders, set out with room to work. Free PDF with a step-by-step answer key.
- Long division: 4-digit by 1-digit
9 4-digit by 1-digit long division problems that divide exactly, set out with room to work. Free PDF with a step-by-step answer key.
- Long division: 4-digit by 1-digit, with remainders
9 4-digit by 1-digit long division problems with remainders, set out with room to work. Free PDF with a step-by-step answer key.
Grade 5
- Long division: 3-digit by 2-digit
9 3-digit by 2-digit long division problems that divide exactly, set out with room to work. Free PDF with a step-by-step answer key.
- Long division: 3-digit by 2-digit, with remainders
9 3-digit by 2-digit long division problems with remainders, set out with room to work. Free PDF with a step-by-step answer key.
- Long division: 4-digit by 2-digit
9 4-digit by 2-digit long division problems that divide exactly, set out with room to work. Free PDF with a step-by-step answer key.
- Long division: 4-digit by 2-digit, with remainders
9 4-digit by 2-digit long division problems with remainders, set out with room to work. Free PDF with a step-by-step answer key.
How to teach it
- Divide: how many times does the divisor go into the first part of the number?
- Multiply: write the quotient digit above, and multiply it by the divisor.
- Subtract: take the product away to find what is left.
- Bring down: bring down the next digit and divide again.
- Check: multiply the quotient by the divisor and add the remainder. You should get the number you started with.
Questions teachers ask
- What grade is long division taught in?
- Dividing up to 4-digit numbers by a 1-digit divisor is Grade 4 in the Common Core (4.NBT.B.6). Dividing by a 2-digit divisor is Grade 5 (5.NBT.B.6), and the standard method is expected to be fluent by Grade 6 (6.NS.B.2).
- What are the steps of long division?
- Divide, multiply, subtract, bring down, and repeat until there are no digits left. What is left at the end is the remainder.
- Should students start with or without remainders?
- Start without remainders so the steps come first, then move to the same level with remainders. Each level on this page has both.
- Are the answer keys worked out?
- Yes. The last page of every sheet shows each problem with the quotient, every multiply and subtract step, and the remainder.
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