Long division worksheets
Aligned with Common Core 4.NBT.B.6
Printable fourth-grade long division worksheets and how-to teaching pages: dividing tens and hundreds, remainders, area model division, long division on graph paper, checking with multiplication, what to do with a remainder, and division word problems.
The worksheets
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How to Divide Tens and Hundreds
Rows from 54 ÷ 6 = 9 up to 54,000 ÷ 6 = 9,000 with the zeros in red, plus problems like 400 ÷ 5 where the fact already uses a zero.
Divide Tens and Hundreds
Basic facts like 54 ÷ 6 = 9 with related problems like 540 ÷ 6 and 5,400 ÷ 6. More includes a missing dividend.
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How to Find a Remainder
47 ÷ 5 shown as 9 groups of 5 with 2 left over, with skip counting, and how to check that a remainder is smaller than the divisor.
Remainders
Division facts with remainders, like 47 ÷ 5 = 9 R2. More uses quotients up to 12.
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How to Divide with an Area Model
984 ÷ 4 worked out with a rectangle split into 800, 160 and 24, and why the parts on top add up to the quotient.
Area Model Division
Rectangles with the area split into easy parts, like 984 = 600 + 360 + 24. Find each side length and add them to get the quotient.
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How to Do Long Division
857 ÷ 4 worked out on graph paper step by step, with how to check by multiplying and the words dividend, divisor, quotient and remainder.
Long Division
Long division on graph paper so the digits line up, with a box for the remainder. Fewer has 4 two-digit problems, Standard 6 three-digit problems, and More 9 three-digit problems with bigger divisors and zeros in the quotient.
Check with Multiplication
Division answers to check. Multiply and add the remainder, then decide if each answer is right or wrong.
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What to Do with a Remainder
Three stories that all divide 29 by 6: vans that need rounding up, books where the remainder is dropped, and stickers where the remainder is the answer.
What to Do with the Remainder
Story problems where the remainder matters, like how many vans are needed or how many stickers are left over.
Division Word Problems
Division stories about crates, albums, shelves, money and miles, with a work space and an answer box.
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
Fourth graders divide numbers up to four digits by a one-digit number, like 857 ÷ 4 = 214 R1. They learn to break a big division into smaller parts with area models, then use long division: divide, multiply, subtract, bring down. They also learn what a remainder means in a story, and check their answers with multiplication.
What comes next
Factors and multiples, which use the same multiplication and division facts.
How to teach it
- Review division facts and multiplying by 10 and 100 first. Long division is built on them.
- Start with area model division so the steps make sense, then move to long division.
- Say the steps out loud every time - divide, multiply, subtract, bring down.
- Always check by multiplying the quotient by the divisor and adding the remainder.
- Talk about what a remainder means in a story. Sometimes you round up, sometimes you drop it, and sometimes it is the answer.
Common mistakes
- Forgetting a 0 in the quotient, like writing 15 instead of 105 for 525 ÷ 5.
- A remainder that is bigger than the divisor. That means the quotient digit should be one bigger.
- Bringing down two digits at once.
- Lining up quotient digits over the wrong place.