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Long Division

What is long division?

Long division is a way to solve division problems with large numbers. These are division problems that you can't do in your head.

How to Write it Down

First you have to write the problem down in long division format. The typical division problem looks like this:

To write this down in long division format it looks like this:

Let's try a fairly simple example: 187 รท 11 = ?

1) First step is to put the problem into long division format:

2) The second step is to determine the smallest number to the left of the dividend, in this case 187, that can be divided by 11. The first number "1" is too small, so we look at the first two numbers "18". 11 can fit into 18 so we can use that.

In this step, we write down how many times 18 can be divided by 11. In this case the answer is 1. If we tried 2 that would be 22, which is bigger than 18.

Next, we write 11 underneath the 18 because 1x11 = 11. Then we subtract 11 from 18. This equals 7, which we write down.

3) Since we had a remainder of 7, the problem isn't finished. We now move the 7 down from the end of the 187 (see the picture).

4) In this step we determine how many times 11 will divide into 77. That is exactly 7 times. We write down the 7 next to the 1 in the answer area. We also write down 77 underneath the 77 because 7 x 11 = 77.

5) Now we subtract 77 from 77. The answer is zero. We have finished the problem. 187 ÷ 11 = 17.

A few tips for long division: Below are a few more examples of long division. Try to work through these problems yourself to see if you get the same results.

Advanced Kids Math Subjects

Intro to Multiplication
Long Multiplication
Multiplication Tips and Tricks

Intro to Division
Long Division
Division Tips and Tricks

Intro to Fractions
Equivalent Fractions
Simplifying and Reducing Fractions
Adding and Subtracting Fractions
Multiplying and Dividing Fractions

Decimals Place Value
Adding and Subtracting Decimals
Multiplying and Dividing Decimals
Mean, Median, Mode, and Range
Picture Graphs

Order of Operations
Ratios, Fractions, and Percentages

Pythagorean Theorem
Surface Area

Basic Laws of Math
Prime Numbers
Roman Numerals
Binary Numbers

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