Long Division Worksheets With the Bracket Drawn, Grades 4 to 6

Long division with the bracket drawn and working space under it, from 2-digit dividends to grade 6, with a key.

12 problems. 3-digit ÷ 1-digit long division, no remainder. Sheet 7PA1CQ, with its answer key.

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.

Read the full guide

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.

All 18 sheet types

Facts and 2-digit dividends 4

  • 2-digit ÷ 1-digit, a ten to regroup 72 ÷ 3 = 24. 3 goes into 7 twice, 2 × 3 = 6, and 7 take away 6 leaves 1 ten. Bring down the 2 to make 12, and 3 goes into 12 four times. This is the first sheet where bringing down does any work.
  • 2-digit ÷ 1-digit, each digit divides evenly 84 ÷ 4 = 21. 4 goes into 8 twice and into 4 once, and both subtractions leave 0. With nothing to regroup, pupils can give all their attention to where each number is written under the bracket.
  • 2-digit ÷ 1-digit, remainder at the end 87 ÷ 4 = 21 R 3. After the last subtraction, 7 take away 4, there are 3 left and nothing more to bring down, so 3 is the remainder. It goes beside the quotient as R 3, and it is always smaller than the divisor.
  • 60 division facts for the divide step 60 division facts written across the page, such as 56 ÷ 8 = 7. The divide step in every round of long division is a fact like this one, so slow facts make slow long division. Use it as a starter before the bracket sheets.
Show all 18 sheet types (14 more)

3-digit dividends 5

  • 3-digit ÷ 1-digit long division, no remainder 795 ÷ 5 = 159. Three rounds of divide, multiply, subtract and bring down, with 5, 25 and 45 subtracted in turn. The page opens on this sheet: 12 problems with working space under each bracket, and an answer key.
  • 3-digit ÷ 1-digit long division, with remainders 757 ÷ 6 = 126 R 1. The three rounds subtract 6, 12 and 36, and the last subtraction leaves 1. Pupils can check an answer the way the key does: 126 × 6 + 1 = 757.
  • Bring down, write 0, bring down again 618 ÷ 6 = 103. After 6 is subtracted from 6, the 1 comes down, and 6 will not go into 1. A 0 goes in the quotient before the 8 comes down to make 18. Leaving out that 0 gives 13.
  • Dividends that end in zeros 500 ÷ 4 = 125. The zeros still come down one at a time. 5 take away 4 leaves 1, and the first 0 makes it 10. 10 take away 8 leaves 2, and the second 0 makes it 20. Stopping after the first 0 gives 12.
  • Quotient starts over the tens digit 365 ÷ 5 = 73. 5 will not go into 3, so the first step is 5 into 36, and the 7 sits over the 6, not over the 3. Written one place to the left, the same digits would read 730.

4-digit dividends and longer 3

  • 4-digit ÷ 1-digit long division, no remainder 8,652 ÷ 7 = 1,236, in four rounds that subtract 7, 14, 21 and 42. Common Core 4.NBT.6 and Texas 4.4(F) both stop at a four-digit dividend and a one-digit divisor, so this is the top of the grade 4 range.
  • 4-digit ÷ 1-digit long division, with remainders 9,125 ÷ 4 = 2,281 R 1. The third subtraction, 32 from 32, leaves 0, and the 5 still has to come down on its own. 4 goes into 5 once with 1 left over, so the quotient has four digits and the remainder is 1.
  • 5-digit ÷ 1-digit, five rounds of steps 73,458 ÷ 6 = 12,243. Nothing new happens, but five rounds in a row test whether the columns stay straight. Common Core 6.NS.2 asks for multi-digit numbers and names no largest dividend.

Grids and step helps 3

  • Grid long division, 2-digit ÷ 1-digit 96 ÷ 4 = 24 on a grid, one digit per square. The 8 that is subtracted and the 16 that follows each have their own squares, so the tens stay under the tens from the first line to the last.
  • Grid long division, 3-digit ÷ 1-digit 584 ÷ 4 = 146 on a grid. Three rounds make a staircase of numbers down the page, each a square further right than the last. 9 problems fit a page, fewer than on a plain sheet, because the squares need room.
  • Grid long division, 4-digit ÷ 1-digit with remainders 7,394 ÷ 3 = 2,464 R 2 on a grid, 6 problems to a page. Four rounds make the tallest column of working a 1-digit divisor gives, and the squares keep it upright. The remainder is written beside the quotient, outside the squares.

Grade 6 fluency 3

  • Add zeros and keep dividing: decimal quotients 127 ÷ 4 = 31.75. Where a remainder of 3 would be written, pupils put a decimal point after 127 and bring down a 0 to make 30. 30 take away 28 leaves 2, another 0 makes 20, and 20 ÷ 4 = 5. Every answer ends within 2 decimal places.
  • Decimal dividends, point goes straight up 9.36 ÷ 4 = 2.34. The decimal point goes on the quotient line first, straight above the point in the dividend. After that the digits behave as they do in 936 ÷ 4 = 234. Common Core 6.NS.3 covers dividing decimals this way.
  • Grade 6: multi-digit ÷ 2-digit, standard algorithm 7,488 ÷ 32 = 234, subtracting 64, 96 and 128. Common Core 6.NS.2 asks grade 6 to divide multi-digit numbers fluently using the standard algorithm. Each quotient digit starts as a trial: 32 into 74 goes twice.

How this list was compiled: The sheet types and worked sums were written for this page, except 500 ÷ 4 = 125, which Wikipedia's Long division article works in full. The steps, the check (quotient × divisor + remainder = dividend) and the advice to keep the columns straight were checked on 2026-09-19 against https://en.wikipedia.org/wiki/Long_division. Number sizes and standard numbers were checked the same day against the Common Core State Standards for Mathematics (https://www.cde.ca.gov/be/st/ss/documents/ccssmathstandardaug2013.pdf), the Texas Essential Knowledge and Skills for Mathematics (https://tea.texas.gov/sites/default/files/ch111a.pdf and https://tea.texas.gov/sites/default/files/ch111b.pdf) and the national curriculum in England (https://assets.publishing.service.gov.uk/media/5a7da548ed915d2ac884cb07/PRIMARY_national_curriculum_-_Mathematics_220714.pdf). Licence: own work