purr.tools

Long Division Calculator

Enter a dividend and divisor to see the full step-by-step long division with quotient and remainder.

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How to do long division

Enter the dividend (the number being divided) and the divisor (the number you divide by). The calculator works through each digit of the dividend: at each step it finds how many times the divisor goes into the current partial value, records the quotient digit, multiplies, subtracts, and carries the remainder to the next digit.

Long division terms

Dividend: the number being divided. Divisor: the number you divide by. Quotient: the whole-number result. Remainder: what is left over after dividing. Decimal result: quotient expressed as a decimal including the fractional part.

FAQ

What is a remainder?

The remainder is the amount left over after dividing as many whole times as possible. For example, 17 divided by 5 gives quotient 3 and remainder 2, because 5 goes into 17 three times (15), with 2 left over.

How do I express the result as a fraction?

Write the quotient as the whole number, and the remainder over the divisor as the fractional part. For example, 17 divided by 5 = 3 remainder 2, which can be written as 3 and 2/5.

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  src="https://purr.tools/en/embed/long-division-calculator"
  width="100%"
  height="500"
  style="border:0;border-radius:8px;"
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  title="Long Division Calculator — Step-by-Step"
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