Enter a dividend and divisor to see the quotient, remainder, and the step-by-step long division process.
Long Division Calculator
LiveThe process
157 ÷ 12: 12 fits into 15 once (remainder 3), bring down 7 to make 37, 12 fits into 37 three times (remainder 1) - quotient 13, remainder 1.
Step-by-step guide
- Enter the dividend (the number being divided) and the divisor.
- Read the quotient and remainder, plus the full step-by-step breakdown below.
Why long division still matters
Long division breaks a single hard division problem into a sequence of small, manageable steps - divide, multiply, subtract, bring down the next digit, repeat. It's exactly how division works "under the hood" for numbers too large to divide by inspection, and understanding the process (not just getting the final answer) builds the same foundational skill used later for polynomial long division in algebra.
Common mistakes
Frequently asked questions
What does it mean if the remainder is 0?
It means the divisor divides the dividend evenly - the divisor is a factor of the dividend, and the division comes out to a whole number with nothing left over.
How do I convert the remainder into a decimal?
Divide the remainder by the divisor and add that to the quotient - this calculator shows both forms side by side, so you can see how they relate.
Does this work with negative numbers?
This calculator works with the absolute value of both numbers to keep the step-by-step process clear - apply the sign of your original numbers to the final result separately.
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