Division Question Generator
Builds a sheet of division questions from the answer outwards — a divisor and a quotient are drawn first and multiplied to make the number being divided — so nothing on the sheet is an accident of the draw.
What this generator does
Building the question from its answer is what guarantees a gentle sheet divides exactly every time, with no awkward decimal to explain away, and it is also what makes the remainder appear only when it is asked for. The working shows the matching multiplication, which is the habit that survives into algebra: division is far easier to check than to do.
How to use this tool
- Choose how many questions you want and whether remainders should appear.
- Press make questions, and work through the sheet.
- Show the answers to mark it, or show the working to see the matching multiplication.
- Enter a seed word to rebuild the same sheet later.
Understanding the controls
- How many questions
- One to thirty. Twenty is a homework's worth once the answer key is cut off the bottom.
- Level
- Gentle divides exactly by a single digit. Standard uses divisors up to twelve and may leave a remainder. Stretch uses divisors up to nineteen and larger dividends.
- Seed
- A word rebuilds the identical sheet, so two people can be set the same questions with nothing shared but the word.
- Show the answers / show the working
- The working gives the multiplication that produced the dividend, then subtracts to show where any remainder comes from.
Common use cases
- Division practice at home or school
- Introducing remainders once exact division is secure
- Quick maths warm-ups
- Self-testing before a maths quiz
How this generator works
A divisor and a quotient are drawn within the level's range, and a remainder smaller than the divisor is drawn only above the gentle level. Multiplying and adding gives the dividend. The check runs the division identity in the direction that proves it — quotient times divisor plus remainder must reconstruct the dividend — and separately requires the remainder to be smaller than the divisor, which is what catches a quotient that was one too low.
Randomness and fairness
The remainder is drawn independently of the quotient, so roughly one standard-level question in a divisor's-worth comes out exact by chance. Nothing balances the sheet between exact and inexact questions.
For how randomness is produced across the whole site, see how Generate Random works.
Limitations and good to know
- Remainders are given as whole numbers, never as a fraction or a decimal continuation.
- Long division is not laid out; the working shows the multiplication route rather than the bus-stop method.
- The seeded path is reproducible on purpose and is therefore not cryptographic. Only an unseeded sheet uses the browser's secure generator.
Practical tips
- Ask for the matching multiplication before revealing the answer. Division is far easier to check that way, and it is the habit that survives into algebra.
- Set a gentle sheet and a standard one in the same session; the jump from exact to remainder is the step most people stumble on.
Privacy and your data
Questions are built in your browser. Your seed and level never leave the device, are never uploaded and are not stored between visits.
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