# Long Division Calculator with Decimals

## Calculator Use

Enter positive or negative integers or decimals for dividend and divisor to get a quotient and show the long division calculation and the work. Use this calculator for Long Division with Remainders.

### Calculate Quotient to 3, 6, or 9 Decimal Places

How far do you want to calculate the decimal places of the answer?

31 divided by 16 = 1.937500 calculating to 6 decimal places. 31 divided by 16 = 1.937 calculating to 3 decimal places.

22 divided by 15 = 1.466666666 calculating 9 decimal places. 22 divided by 15 = 1.466666 calculating 6 decimal places. 22 divided by 15 = 1.466 calculating to only 3 decimal places.

This is not the same as "rounding" to 0, 3, 6 or 9 decimal places. For example, 22 divided by 15 = 1.467 when "rounded" to 3 decimal places. See our Rounding Numbers Calculator.

## Parts of Division

For the division problem 471 divided by 32: 471 is the dividend, 32 is the divisor, and 14.718 is the quotient calculated to 3 decimal places.

## How to do Long Division with Decimals

In this problem we will divide 47.1 by 3.2 out to 6 decimal places in the quotient answer.

Since we are solving to 6 decimal places, we also added six trailing zeroes on to the dividend as "place holders" for now.

We can also pre-place a decimal point in the quotient, right above its new position in the dividend.

is equivalent to

471 ÷ 32

Since:

47.1/3.2 * 10/10 = 471/32

Just like when we work with fractions, you don't change the value of a fraction if you multiply its top and bottom numbers by the same number.

The quotient result is rounded down to an integer, and since 32 does not divide into 4 at least one whole time, the first quotient digit is 0.

Multiply the divisor 32 by the quotient 0 to get the product 0. We then subtract 0 from 4 to get the remainder 4.

32 * 0 = 0

4 - 0 = 4

4 ÷ 32 = 0

with a remainder of 4

47 ÷ 32 = ??

**only**the whole number result (1) in the quotient. To find the remainder, we multiply our divisor by our whole number result (1), and subtract the product (32) from our second dividend (47), to get a remainder of 15.

32 * 1 = 32

47 - 32 = 15

47 ÷ 32 = 1

with a remainder of 15

151 ÷ 32 = ??

32 * 4 = 128

151 - 128 = 23

151 ÷ 32 = 4

with a remainder of 23

Ignore the decimal point for now, we don't bring it down, just work around it.

230 ÷ 32 = ??

32 * 7 = 224

230 - 224 = 6

230 ÷ 32 = 7

with a remainder of 6

60 ÷ 32 = ??

32 * 1 = 32

60 - 32 = 28

60 ÷ 32 = 1

with a remainder of 28

280 ÷ 32 = ??

32 * 8 = 256

280 - 256 = 24

280 ÷ 32 = 8

with a remainder of 24

240 ÷ 32 = ??

32 * 7 = 224

240 - 224 = 16

240 ÷ 32 = 7

with a remainder of 16

160 ÷ 32 = ??

As 32 goes into 160 five times evenly, with no remainder, and there are no other digits in the dividend besides trailing zeroes (which have no effect on the final answer) we can actually stop here, because 014.71875 is our final answer.

32 * 5 = 160

160 - 160 = 0

160 ÷ 32 = 5

with no remainder.

We can go through all the steps for the final digit: zero divided by anything is zero.

0 ÷ 32 = ??

0 ÷ 32 = 0

47.1 ÷ 3.2 = 14.718750

## Further Reading

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

Wikipedia: Long Division

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

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