How it works
These long division worksheets open on 3-digit ÷ 1-digit with no remainder, such as 795 ÷ 5 = 159. The menu runs from 84 ÷ 4 to 7,488 ÷ 32.
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How long division works
Each round has four steps: divide, multiply, subtract, bring down. For 795 ÷ 5, 5 goes into 7 once. Write 1 above the 7, then 1 × 5 = 5 under it. 7 take away 5 leaves 2, and the 9 comes down to make 29. The next two rounds subtract 25 and 45, and the bar reads 159.
Which sheets fit which grade
All but the grade 6 sheet are single digit division worksheets: only the dividend grows. Grade 4 runs from the 2 digit by 1 digit division worksheets to the 4 digit by 1 digit division worksheets. For 6th grade division worksheets, print Grade 6: multi-digit ÷ 2-digit, standard algorithm or 5-digit ÷ 1-digit, five rounds of steps.
- If columns drift, print Grid long division, 3-digit ÷ 1-digit, one of three long division worksheets with grid squares.
- Quotient starts over the tens digit catches a misplaced first digit: 365 ÷ 5 is 73, not 730.
- Print 60 division facts for the divide step as a starter, because slow facts make slow long division.
Questions and answers
Is there a long division without remainders worksheet?
Most of them are. Every sheet divides exactly unless its name says remainder, so those are the long division worksheets no remainders appear on. A sheet named for remainders always leaves one, as in 757 ÷ 6 = 126 R 1.
Do the long division worksheets grade 6 with answers show the working?
Yes. The key gives each quotient and the numbers a pupil should have written under the bracket. For 6,603 ÷ 31 = 213 it lists 62, 40, 31, 93, 93 and 0. Every bracket and grid sheet has the same kind of key.
What grade is long division taught?
Texas names the standard algorithm in grade 4 (4.4(F)), for up to a 4-digit dividend and a 1-digit divisor. Common Core sets the same sizes in 4.NBT.6 but names no algorithm for division until grade 6 (6.NS.2). England teaches long division in Year 6.
What do you do when the divisor will not go into a digit?
Write 0 in the quotient and bring down the next digit. In 618 ÷ 6, 6 will not go into 1, so the quotient is 103, not 13. Bring down, write 0, bring down again drills it. At the first digit no 0 is needed.