Long Division Calculator
Perform long division with remainders instantly. See the step-by-step tableau showing how the quotient and remainder are calculated.
How to do Long Division
Long division is a standard algorithm used for dividing multi-digit numbers. It breaks down a complex division problem into a series of easier steps.
The process follows a repeating cycle: Divide, Multiply, Subtract, Bring Down.
Key Terms
- Dividend: The number you are dividing up (inside the box).
- Divisor: The number you are dividing by (outside the box).
- Quotient: The main result or answer (on top).
- Remainder: The amount left over (at the bottom).
Example: 145 ÷ 12
- Divide: 12 goes into 14 one time. Write '1' on top.
- Multiply: 1 × 12 = 12. Write '12' under 14.
- Subtract: 14 - 12 = 2.
- Bring Down: Bring down the '5' to make 25.
- Repeat: 12 goes into 25 two times. Write '2' on top. 2 × 12 = 24. 25 - 24 = 1.
Result: 12 Remainder 1.
? Frequently Asked Questions
You can write it as 'R' followed by the number (12 R 1), as a fraction (12 1/12), or continue dividing by adding a decimal point and zeros to the dividend to find the decimal answer.
No. If your remainder is larger than the divisor, it means the divisor could have fit into the number one more time. Check your division step again.
Multiply the Quotient by the Divisor, then add the Remainder. The result should equal the original Dividend. (Quotient × Divisor) + Remainder = Dividend.