We look at the division of 8125 by 17 
We want to figure out the number of times 8125 can be divided by 17.

Step 1:
The number 17 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 17

Step 2:
17 can be fit into 81 4 times, resulting in a remainder of 13.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 68 from 81, we get 13.
Take the next digit (2) from the dividend and append it to 13, then repeat: 132 / 17

Going ahead to step 3:
17 goes into 132 7 times with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 47.0
If we take 119 away from 132, we end up with 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 17

Moving on to step 4:
When dividing 135 by 17, we get 7 with a remainder of 16.
Record the quotient 7 as the next digit in the result. 
Result so far: 477.0
Subtracting 119 from 135 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 5:
If we divide 160 by 17, we get 9 and a remainder of 7.
The next digit of our result is 9. 
Result so far: 477.9
If we take 153 away from 160, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 6:
If we divide 70 by 17, we get 4 and a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 477.94
If we take 68 away from 70, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
If we divide 20 by 17, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 477.941
If we take 17 away from 20, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
If we divide 30 by 17, we get 1 and a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 477.9411
Subtract 17 from 30 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

After the division, we end up with 477.9411 and a remainder of 0.00013.