Box Method Division Worksheets for 1-Digit and 2-Digit Divisors

Division in a row of boxes, one chunk at a time, with an answer key.

6 problems. 3-digit ÷ 1-digit in 3 boxes. Sheet Q2Y12, with its answer key.

3-digit ÷ 1-digit in 3 boxes

Name Date Score / 6

Use the box method: write how many groups fit on top of a box, take them away, and carry what is left to the next box.

  1. 1.2530530 ÷ 2 = ________
  2. 2.9999999 ÷ 9 = ________
  3. 3.5560560 ÷ 5 = ________
  4. 4.6786786 ÷ 6 = ________
  5. 5.3816816 ÷ 3 = ________
  6. 6.2774774 ÷ 2 = ________

Sheet Q2Y12 · Made at homeroomtools.com

Answer key. 3-digit ÷ 1-digit in 3 boxes

  1. 1.2530200− 40013060130− 12010510− 100530 ÷ 2 = 265200 + 60 + 5 = 265
  2. 2.9999100− 900991099− 90919− 90999 ÷ 9 = 111100 + 10 + 1 = 111
  3. 3.5560100− 500601060− 5010210− 100560 ÷ 5 = 112100 + 10 + 2 = 112
  4. 4.6786100− 60018630186− 180616− 60786 ÷ 6 = 131100 + 30 + 1 = 131
  5. 5.3816200− 60021670216− 210626− 60816 ÷ 3 = 272200 + 70 + 2 = 272
  6. 6.2774300− 60017480174− 16014714− 140774 ÷ 2 = 387300 + 80 + 7 = 387

Sheet Q2Y12 · Made at homeroomtools.com

Next step Try the same chunks as partial quotients

How it works

Box method division worksheets put each subtraction in its own box. It opens on 3-digit ÷ 1-digit in 3 boxes, such as 936 ÷ 4 = 234, and goes up to 3,774 ÷ 17. Press Make a new sheet for new numbers.

Read the full guide

How the box method works

The dividend starts inside the first of a row of boxes. For 936 ÷ 4, take away 4 × 200 = 800 and write 200 on top. The 136 that is left moves to the next box, which takes 4 × 30 = 120. The last box takes 4 × 4 = 16. The numbers on top give 200 + 30 + 4 = 234.

Box method or area model?

They are one idea drawn two ways. A long division area model worksheet draws a rectangle with the divisor as its height and the dividend as its area, and the widths add up to the quotient. On Area model, split the dividend yourself pupils choose the parts.

  • A pupil who freezes can print Extra boxes for smaller chunks and take 4 × 100 twice.
  • Print Multiply the divisor by tens and hundreds first, so pupils can choose a chunk without guessing.
  • The area model division worksheets suit pupils who already multiply in a rectangle: it is the same picture run backwards.

Questions and answers

What grade are box division worksheets for?

Grade 4 under Common Core 4.NBT.6, which names area models for dividends up to 4 digits and 1-digit divisors, as does Texas 4.4(E). Grade 5 adds 2-digit divisors (5.NBT.6). England's curriculum asks for short and long division instead.

How do you show a remainder in the box method?

Keep going until the number left is smaller than the divisor. The boxes for 947 ÷ 4 leave 3, so the answer is 236 R 3. To check, add the chunks taken away and the remainder: 800 + 120 + 24 + 3 = 947.

Does the box method work with 2-digit divisors?

Yes. 768 ÷ 32 takes 2 boxes: 32 × 20 = 640, then 32 × 4 = 128, and 20 + 4 = 24. 4-digit ÷ 2-digit in 3 boxes reaches sums like 3,774 ÷ 17 = 222.

Is a long division box method worksheet the same as partial quotients?

The arithmetic is the same: both take away easy multiples of the divisor and add up the chunks. Partial quotients stacks the subtractions under a bracket with the chunks down the side. The box method gives each subtraction its own box.

All 16 sheet types

First boxes: 1-digit divisors 6

  • 2-digit ÷ 1-digit in 2 boxes 92 ÷ 4 = 20 + 3 = 23. The first box takes away 4 × 20 = 80, and 92 − 80 = 12 moves to the second box, where 4 × 3 = 12 leaves nothing. The numbers on top of the boxes add up to the quotient.
  • 3-digit ÷ 1-digit in 3 boxes 936 ÷ 4 = 200 + 30 + 4 = 234. The boxes take away 800, then 120, then 16: 936 − 800 = 136, 136 − 120 = 16 and 16 − 16 = 0. The page opens on this sheet, with 6 problems and an answer key.
  • 3-digit ÷ 1-digit with a 2-digit quotient 276 ÷ 6 = 40 + 6 = 46. There are too few hundreds to give each of 6 groups one, so the first chunk is tens: 6 × 40 = 240 and 276 − 240 = 36. A pupil who starts with a hundreds chunk is stuck at once, which makes the slip easy to see.
  • Area model, split the dividend yourself 744 ÷ 8 = 90 + 3 = 93, once 744 is cut into 720 and 24. The rectangle is empty, and pupils choose parts that the divisor goes into exactly. Any split that works is right, and the key shows the place value one.
  • Facts for the boxes, ÷ 2 to ÷ 9 36 ÷ 4 = 9. Every box is filled from a fact like this one, so the plain fact sheet comes first: 30 facts in a line with divisors 2 to 9. It is the one sheet here with no boxes on it.
  • Multiply the divisor by tens and hundreds 4 × 30 = 120 and 4 × 200 = 800. These products are the chunks that get taken away in the boxes, so a pupil who knows them can choose a chunk without guessing.
Show all 16 sheet types (10 more)

4-digit dividends and zeros 4

  • 4-digit ÷ 1-digit in 4 boxes 9,436 ÷ 4 = 2,000 + 300 + 50 + 9 = 2,359. One box for each place: 9,436 − 8,000 = 1,436, then 1,436 − 1,200 = 236, then 236 − 200 = 36, and 4 × 9 = 36. A 4-digit dividend is the largest size Common Core names for grade 4.
  • 4-digit ÷ 1-digit with a 3-digit quotient 1,968 ÷ 8 = 200 + 40 + 6 = 246. The 1 thousand is too small to share among 8, so the first chunk is hundreds: 8 × 200 = 1,600, then 1,968 − 1,600 = 368 and 368 − 320 = 48. Three boxes are enough.
  • A zero box in the quotient 921 ÷ 3 = 300 + 0 + 7 = 307. After 921 − 900 = 21 there are too few tens to share, so the tens box gets a 0 on top. In long division that 0 is the digit pupils leave out, giving 37. Here the box keeps its place.
  • Dividend with a zero inside 4,032 ÷ 6 = 600 + 70 + 2 = 672. A 0 in the dividend changes nothing about the method: 4,032 − 3,600 = 432, then 432 − 420 = 12. It gets its own sheet because pupils often stall when a digit of the dividend is 0.

Remainders and checks 2

  • 3-digit ÷ 1-digit, remainder after the last box 947 ÷ 4 = 236 R 3. The boxes run as usual, 947 − 800 = 147, 147 − 120 = 27 and 27 − 24 = 3. The 3 that is left is smaller than 4, so it is the remainder, and the sheet has a blank for it after the last box.
  • 4-digit ÷ 1-digit with a remainder 8,759 ÷ 7 = 1,251 R 2. Four boxes: 8,759 − 7,000 = 1,759, then 1,759 − 1,400 = 359, then 359 − 350 = 9, and 9 − 7 = 2. Common Core asks for quotients and remainders at this size in grade 4.

2-digit divisors and decimals 3

  • 2-digit divisor with a remainder 2,000 ÷ 45 = 44 R 20. The boxes take 45 × 40 = 1,800 and 45 × 4 = 180, so 2,000 − 1,800 = 200 and 200 − 180 = 20. Because 20 is smaller than 45, it is the remainder.
  • 3-digit ÷ 2-digit in 2 boxes 768 ÷ 32 = 20 + 4 = 24. The first box takes 32 × 20 = 640, and the 128 that is left is 32 × 4 = 128. With a 2-digit divisor the chunks are harder to see, and that is where boxes help most.
  • 4-digit ÷ 2-digit in 3 boxes 3,774 ÷ 17 = 200 + 20 + 2 = 222. The subtractions are 3,774 − 3,400 = 374, then 374 − 340 = 34, and 17 × 2 = 34. This is the grade 5 size in Common Core 5.NBT.6, which names area models as one way to show the work.

Missing boxes, mistakes and templates 1

  • Extra boxes for smaller chunks 936 ÷ 4 = 100 + 100 + 30 + 4 = 234. Each problem has 2 spare boxes, so a pupil who is unsure of 4 × 200 can take 4 × 100 = 400 twice. Small chunks still reach the right answer. They just fill more boxes.

How this list was compiled: The sheet types, box layouts, word problems and worked sums were written for this page. Number sizes and standard numbers were checked on 2026-09-19 against the Common Core State Standards for Mathematics (https://www.cde.ca.gov/be/st/ss/documents/ccssmathstandardaug2013.pdf) and the Texas Essential Knowledge and Skills for Mathematics (https://tea.texas.gov/sites/default/files/ch111a.pdf). Both name area models for division and neither draws one, so the two layouts here, a row of subtraction boxes and a rectangle cut into parts, are described in our own words. Licence: own work

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