Divide whole numbers with the full long-division steps and remainder.
Calculated instantly in your browser.
How do you do long division?
Long division satisfies dividend = divisor × quotient + remainder, processing the dividend digit by digit. At each step you take the carried remainder, bring down the next digit, divide by the divisor for the next quotient digit, then subtract to find the new remainder. For example, 1234 ÷ 7 = 176 remainder 2, because 7 × 176 + 2 = 1234.
Understanding your result
At each step you take the carried remainder, bring down the next digit, divide by the divisor to get the next quotient digit, then subtract to find the new remainder. The final remainder is what is left over.
Formula and method
dividend = divisor × quotient + remainder. Long division processes the dividend digit by digit, dividing the running value by the divisor and carrying the remainder forward.
Worked example
1234 ÷ 7 = 176 remainder 2, because 7 × 176 + 2 = 1234.
How to use this tool
- Enter the dividend (the number being divided).
- Enter the divisor (the number to divide by).
- Read the quotient, remainder and steps.
Common mistakes to avoid
- Forgetting to bring down the next digit.
- Mixing up the dividend and the divisor.
About the Long Division Calculator
The Long Division Calculator divides one whole number by another and shows the quotient, the remainder and each step of the long-division method — bring down a digit, divide, multiply and subtract.
Who should use this tool
Students learning long division, parents helping with homework and teachers building examples.
Benefits
- Quotient and remainder instantly.
- Every long-division step shown.
- A check line to verify the answer.
- The decimal result too.
Practical use cases
- Learning the long-division method.
- Checking a division homework answer.
- Finding a remainder quickly.
Frequently asked questions
What is the quotient and remainder?
The quotient is how many whole times the divisor goes into the dividend; the remainder is what is left over and is always smaller than the divisor.
Does it handle large numbers?
Yes, up to very large whole numbers. For decimal answers, the calculator also shows the exact decimal value.