Division with two-digit divisors worksheets
Aligned with Common Core 5.NBT.B.6
Printable fifth-grade division worksheets and how-to teaching pages: long division with two-digit divisors, estimating quotients, testing and fixing a guessed digit, partial quotients, checking with multiplication and division word problems.
The worksheets
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How to Divide by a 2-Digit Number
864 ÷ 32 worked step by step with long division on graph paper, plus how to round the divisor and check the answer.
Estimate the Quotient
Division problems to estimate with compatible numbers, like 3,456 ÷ 48 ≈ 3,500 ÷ 50 = 70. Fewer has 6 with 3-digit dividends, Standard has 8 and More has 10. The answer key shows one good estimate for each.
3-Digit ÷ 2-Digit
Long division with 3-digit dividends and 2-digit divisors on graph paper. Fewer has 4 with no remainders, Standard has 6 and More has 9 with bigger divisors. The answer key shows every step.
4-Digit ÷ 2-Digit
Long division with 4-digit dividends and 2-digit divisors on graph paper. Fewer has 4, Standard has 6 and More has 9. The answer key shows every step.
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How to Fix a Guess
Two worked examples, one guess that's too big and one that's too small, and how rounding the divisor causes each.
Too Big, Too Small or Just Right
Division steps with a guessed digit to test, a mix of guesses that are too big, too small and just right. Fewer has 5, Standard has 6 and More has 8. Includes an answer key.
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How to Use Partial Quotients
1,512 ÷ 24 worked by taking away easy groups of 24, with a list of easy groups to use.
Partial Quotients
Division with space to take away easy groups, a box for 10, 50 and 100 groups of the divisor, and the quotient and remainder. Fewer has 2 and Standard has 4 with 3-digit numbers. More has 4 with 4-digit numbers. The answer key shows one way.
Divide and Check
Long division problems with remainders, each with a check by multiplying and adding the remainder. Fewer has 2 with 3-digit numbers, Standard has 3 and More has 4. Includes an answer key.
Division Word Problems
Word problems with 2-digit divisors. Some need the remainder rounded up, some drop it and some ask for it. Fewer has 3, Standard has 4 and More has 5. Includes an answer key.
Print the whole packet
One copy of every sheet above, in order. Tap + for more copies (up to 10).
For the parent or teacher
What it is
Fifth graders divide numbers up to four digits by two-digit numbers, like 864 ÷ 32. The steps are the same as in 4th grade (divide, multiply, subtract, bring down), but each digit of the answer is now a guess. Rounding the divisor helps, and sometimes the guess is one too big or one too small and needs fixing. Partial quotients, taking away easy groups like 10 or 50 of the divisor, is another way to divide that shows why it works.
What comes next
Decimal operations, where the same steps work for dividing decimals.
How to teach it
- Teach in order or jump to whatever your student needs. A student may do the steps of long division well and still be building the habit of testing each guess.
- Before long division, practice estimating quotients so your student knows about how big the answer should be.
- Make a quick list of easy multiples of the divisor (10, 20, 50 and 100 of it) before starting.
- Treat a wrong guess as a normal part of the process, not a mistake. Test it and fix it.
- Check every answer by multiplying the quotient by the divisor and adding the remainder.
Common mistakes
- Keeping a guess that's too small, so what's left is as big as the divisor or bigger.
- Forgetting to write a 0 in the quotient when the divisor doesn't fit after bringing down a digit.
- Writing the first quotient digit above the wrong place.
- Getting a remainder and not deciding what it means in a word problem.