Division Calculator with Steps and Remainder
This Long Division Calculator is a step-by-step solver for positive integer division. It shows the quotient, each multiplication and subtraction line, every bring-down digit, and the final remainder so students and parents can follow the full vertical division process.
Core Concepts: Quotient and Remainder
In long division, you divide the dividend by the divisor to get a quotient and sometimes a remainder. A common question is the difference between quotient and remainder: the quotient is the main result, while the remainder is what is left over.
- Dividend: the number being divided.
- Divisor: the number you divide by.
- Quotient: the whole-number answer on top.
- Remainder: the value left after subtraction steps.
Divide Using Long Division Calculator Steps
Use this interactive long division calculator with steps and remainder support in a few simple steps.
- Enter the dividend and divisor in the input boxes.
- Click Calculate Now to start the animated long division process.
- Follow each quotient, product, and remainder update on the board.
- Click highlighted digits to read explanations for each operation.
Step-by-Step Long Division Tutorial (Manual Example)
If you are learning how to do long division by hand, review this quick worked example.
Steps for long division: 560 ÷ 12
- Compare 12 with the first one or two digits of 560. Since 5 is too small, use 56.
- 12 goes into 56 four times. Write 4 as the first quotient digit.
- Multiply 4 × 12 = 48, write 48 under 56, then subtract to get 8.
- Bring down the next digit 0 to make 80, then divide 80 by 12.
- 12 goes into 80 six times (72), leaving remainder 8. Final answer: quotient 46, remainder 8.