# Long Division Calculator with Remainders

## Calculator Use

Divides two whole integers, a dividend and a divisor, and expresses the answer as a whole number quotient, along with a whole number remainder. This is one of two long division methods and is simpler than producing a quotient with a decimal. You can practice your math problems then use this calculator to see how to do the long division and check against your answers.

To work with integers and decimals use our Long Division with Decimals Calculator.

## Parts of Division

For the division problem 487 ÷ 32 = 15 R 7, 487 is the dividend, 32 is the divisor, 15 is the quotient and 7 is the remainder.

## How to do Long Division With Remainders

From the example above, let's say we wanted to divide 487 by 32, showing our work. How would we do it?

with a remainder of 4

Note that you could skip all of the previous steps with zeros and jump straight to this one if you realize how many digits in the dividend you need to get your first non-zero value in the quotient. In this case you would divide 32 into 48 straight away.

with a remainder of 16

with a remainder of 7

with a remainder of 7

For longer dividends, we would simply continue repeating these steps until every digit is brought down from the divdend.

## Further Reading

At **Ask Dr. Math** you can find Instructions for Long Division for simple and more advanced long division problems.

**Math is Fun** also provides a step-by-step process for long division with Long Division with Remainders.

**Cite this content, page or calculator as:**

Furey, Edward "Long Division Calculator with Remainders"; from *http://www.calculatorsoup.com* - Online Calculator Resource.