How to use (3 steps)
- Dividend a / Divisor b : 84 ÷ 7
- Max decimal digits = 0
- Compute → Results / Long division layout
Teacher mode / Copy shareable URL / Copy LaTeX
Results
Long division layout
How it’s calculated
Shortcuts: Alt+S share, Alt+L copy LaTeX, Alt+[ previous step, Alt+] next step.
Teacher notes
- Before dividing, decimals are turned into whole numbers by multiplying by 10 or 100, then every subtraction and remainder is logged for the class.
- Highlight colours match the digits in the written layout, so students can follow “what we are looking at” and “what we subtract” more easily.
- Shortcuts: Alt+S share, Alt+L copy LaTeX, Alt+[ previous step, Alt+] next step.
FAQ
What is a remainder?
The remainder is the amount left over after dividing. If the remainder is 0, the dividend is exactly divisible by the divisor.
How do I get a decimal answer instead of a remainder?
Increase “Max decimal digits” above 0 to continue the division past the decimal point. For many school problems you will be asked to give a quotient with a remainder instead.
How does the calculator detect repeating decimals?
While generating decimal digits, the tool stores each remainder it sees. When the same remainder appears again, the digits from that point form a repeating pattern.
How can I verify the long-division result?
Use the identity dividend = divisor x quotient + remainder. For integer division, the remainder should be between 0 and |divisor| - 1.
What should I enter first?
Start with the minimum required inputs shown above the calculate button, then keep optional settings at their defaults for a first run. After you get a baseline result, change one parameter at a time so you can see exactly what caused the output to move.