# Divide using repeated subtraction

Divide using repeated subtraction is what this lesson will teach you. We will show you how to do some divisions with some really good examples.

## Interesting examples showing how to divide using repeated subtraction

Example #1

Divide 28 by 5

____
Write    5   ) 28

Step 1

What you need to do here is to subtract the divisor until the remainder is less than the divisor or 5. Record a 1 each time you subtract. In our example, the divisor is 5, so you will subtract 5. Note that the 1 shown in red keeps tract of the number of times you need to subtract 5.

____
5   ) 28
-5                  1
________
23
-5                  1
_________
18
-5                  1
__________
13
-5                  1
__________
8
-5                  1
__________
3

Since 3 is smaller than 5, then we can stop subtracting.

Step 2

Count the number of times you subtracted the divisor or 5. Above you can see that there are 5 ones.

Therefore, 5 is subtracted 5 times and the number that is left is 3.

Therefore, 28 ÷ 5 = 5 r3

The meaning of 5 r3 is a quotient of 5 with remainder of 3.

Example #2

Divide 380 by 62

______
Write    62   ) 380

Step 1

Subtract the divisor until the remainder is less than the divisor or 62. Record a 1 each time you subtract. In our example, the divisor is 62, so you need to subtract 62. Notice again that the 1 keeps tract of the number of times you subtract 62.

______
62   ) 380
-62                  1
________
318
-62                  1
_________
256
-62                  1
__________
194
-62                  1
__________
132
-62                  1
__________
70
-62
1
_________
8

8 is smaller than 62, so we stop subtracting.

Step 2

Count the number of times you subtracted the divisor or 62. Above you can see that there are 6 ones.

Therefore, 62 is subtracted 6 times with 8 left.

Therefore, 380 ÷ 62 = 6 r8

Again, the meaning of 6 r8 is a quotient of 6 with remainder of 3.

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