What is a Long Division Calculator?
This Long Division Calculator is a Step-by-Step Solver and Math Calculator that shows each part of vertical division. It helps students and parents understand how to do long division clearly, including long division with remainders.
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.
How to Use This Step-by-Step Solver
Use this interactive long division with remainders calculator 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.