We look at the division of 115186 by 89 
Our goal is to divide 115186 by 89.

On to step 1:
89 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 89

Step 2:
If we divide 11 by 89, we get 0 and a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Append the next digit (5) from the dividend to 11 and continue with: 115 / 89

On to step 3:
115 divided by 89 is 1 with a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 89 from 115 and we're left with 26.
Fetch the next digit (1) from the dividend, attach it to 26 and continue: 261 / 89

Step 4:
89 goes into 261 2 times with a remainder of 83.
The next digit of our result is 2. 
Result so far: 12.0
Deduct 178 from 261 and we're left with 83.
Include the next digit (8) from the dividend after 83, then repeat: 838 / 89

Moving on to step 5:
89 can be fit into 838 9 times, resulting in a remainder of 37.
The next digit of our result is 9. 
Result so far: 129.0
Subtract 801 from 838 to get 37.
Bring next digit (6) of the dividend behind the 37 and repeat the process: 376 / 89

Advancing to step 6:
When dividing 376 by 89, we get 4 with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 1294.0
If we subtract 356 from 376, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 7:
When dividing 200 by 89, we get 2 with a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 1294.2
The remainder is 22 after subtracting 178 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
220 divided by 89 is 2 with a remainder of 42.
The next digit of our result is 2. 
Result so far: 1294.22
If we subtract 178 from 220, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final result is 1294.22 with a remainder of 0.042.