We're dividing 128251 by 15 
Let's see how many times 15 fits into 128251.

Advancing to step 1:
When dividing 1 by 15, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 15

On to step 2:
If we divide 12 by 15, we get 0 and a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Include the next digit (8) from the dividend after 12, then repeat: 128 / 15

On to step 3:
If we divide 128 by 15, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 120 from 128 to get 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 15

Moving on to step 4:
The number 15 fits into 82 5 times, leaving a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
Subtract 75 from 82 to get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 15

On to step 5:
The number 15 fits into 75 5 times, leaving a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 855.0
Subtracting 75 from 75 leaves us with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 15

Moving on to step 6:
15 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 8550.0
Subtracting 0 from 1 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
The number 15 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 8550.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
When dividing 100 by 15, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 8550.06
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 8550.066
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 8550.066 with a remainder of 0.001.