Long Division Worksheet Generator

A long division written as a line of text is a sum. Long division is a layout: the divisor outside the bracket, the number being divided under the bar, the answer built up digit by digit above it, and the remainder from each column carried and written small in front of the next digit. This rules that frame onto paper at the size you are printing, with room underneath to work in, and gives you an answer key that shows every intermediate remainder rather than only the result — because the intermediate remainders are where it goes wrong.

How many divisions

Between 1 and 30. Eight fills a page with room to work.

Divisor

Digits in the number being divided

Between 3 and 6. Each digit is one column of the layout.

Columns on the page

One, two or three layouts across.

Seed (optional)

A word rebuilds the same sheet, so a whole class can be given the identical set.

Allow remainders

Leave space under each one to work in

Paper size

Print size

Margin

Millimetres of blank edge, 5 to 40.

Turn the paper sideways

How to print this, or save it as a PDF

There is no PDF to download, and there does not need to be. Open the print command in your browser and choose “Save as PDF” as the destination. The page addresses and dates a browser normally prints across the top and bottom are already kept off.
Set the scale to 100%, not “fit to page”. This sheet is already the exact size of the paper you chose, so anything that resizes it makes every measurement on it wrong.
Leave the paper size in the dialog set to the same one you chose here.

Your long division sheet will appear here.

What this generator does

Draws the bus-stop frame itself rather than describing it. Each digit of the number being divided gets its own column, the answer digits sit directly above the digits they came from, and the answer key writes in the remainder carried into every column. Where the divisor does not go into the leading digit, the space above the bar is left blank exactly as it is by hand, which is the detail most printed sheets get wrong and the one that confuses people first.

How to use this tool

Choose how many divisions you want, how big the divisor is, and how many digits the number being divided should have.
Say whether remainders are allowed, and whether to leave space under each layout to work in.
Pick the paper size, print size and margin you are printing on.
Make the sheet, then print it. Only the sheet prints, not the page around it.
Show the completed layouts when you want to mark it, and print those as a separate answer page.

Understanding the controls

How many divisions: One to thirty. Eight fills an A4 page with room to work under each one; twenty fits if you turn the working space off.
Divisor: One digit, from 3 to 9, or two digits, from 12 to 39. The two-digit case is a genuinely different exercise, because how many times the divisor goes in can no longer be recalled and has to be estimated.
Digits in the number being divided: Three to six. This is the same as the number of columns in the layout, so it is the setting that decides how long each division takes rather than how hard it is.
Allow remainders: Turned off, every division comes out exactly, which is the right start. Turned on, the sheet mixes exact ones with those that leave something over, so the last column has to be read rather than assumed.
Leave space under each one to work in: Adds a blank band beneath each frame. Without it more fit on a page, but the working has nowhere to go and ends up in the margin.
Columns on the page: One, two or three layouts across. Three is tight with six-digit numbers; one gives a whole page width to each division, which is what a child learning the method needs.
Paper size, print size and margin: The sheet is laid out to the paper you name, in millimetres, and only the sheet is printed — not the navigation, the introduction or anything else on this page.
Seed: A word rebuilds the identical sheet, which is how a whole class is given the same divisions without a file passing between anyone.

Common use cases

Setting long division practice that arrives already ruled out
A tutor who needs a fresh set every week rather than the same photocopy
Working through the bus-stop method with someone who is learning it
Marking, where the carried remainders show exactly which column went wrong
Printing a class set on the paper you actually have, at a size that can be written on

How this generator works

Each division is set out by walking the digits of the number being divided from the left. In every column the divisor goes into the carried remainder times ten plus that digit some whole number of times; that count is the digit written above the bar and what is left over is carried on. Before the sheet is drawn, every one of those digits is worked out a second time from the characters actually printed inside the bracket and beside it, rather than from the numbers the sheet started with — so a frame showing the right answer above the wrong number would be caught, which on a printed sheet is the mistake that matters, because the frame is the question. The quotient is also required to reach two digits, so nothing on the sheet is a times-table fact wearing a bus stop.

Randomness and fairness

The divisor and the number being divided are drawn independently and then filtered: anything whose answer is a single digit is thrown away and redrawn, as is anything already on the sheet. With remainders turned off the number being divided is reduced to the multiple of the divisor below it, which keeps the digit count and leaves the draw otherwise untouched. The same seed rebuilds the same worksheet, which is there for reproducibility, not cryptographic strength.

For how randomness is produced across the whole site, see how Generate Random works.

Limitations and good to know

The layout stops at the decimal point. Carrying on past the units to give a decimal answer, rather than a remainder, is a further method and is not drawn.
Divisors run from 3 to 9 or from 12 to 39. Dividing by 1 or 2 has no layout worth setting out, and a three-digit divisor makes each estimate a calculation of its own.
The frame is drawn but the subtraction underneath it is not written out in full — the carried remainders are shown instead, which is how the bus-stop method is taught in Britain rather than the stacked American long form.
Everything is positive whole numbers. Negative dividends and decimal dividends are not produced.
A seed reproduces a sheet exactly, which is the point of it, and means seeded output is repeatable rather than unpredictable.

Common mistakes

Losing a column when the divisor does not go into the leading digit: Write nothing above the bar for that column and carry the whole digit across. The answer then has one digit fewer than the number being divided, which is correct.
Carrying the wrong thing into the next column: What is carried is the remainder, not the digit you just wrote above the bar. The answer key here writes both, in their places, so a wrong sheet can be diagnosed rather than just marked.
Stopping at the last digit and forgetting the remainder: Whatever the final column leaves over is the remainder, and it is always smaller than the divisor. If it is not, the last answer digit was too small.

Privacy and your data

The sheet is drawn inside your browser and printed from there. The settings and the seed you type are never uploaded, never stored and never sent to a server.