We look at the division of 256657 by 17 
Let's see how many times 17 fits into 256657.

On to step 1:
17 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 17

Advancing to step 2:
25 divided by 17 is 1 with a remainder of 8.
The next digit of our result is 1. 
Result so far: 1.0
If we take 17 away from 25, we end up with 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 17

Advancing to step 3:
If we divide 86 by 17, we get 5 and a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we subtract 85 from 86, we get 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 17

Let's proceed to step 4:
When dividing 16 by 17, we get 0 with a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 150.0
If we take 0 away from 16, we end up with 16.
Fetch the next digit (5) from the dividend, attach it to 16 and continue: 165 / 17

Advancing to step 5:
17 goes into 165 9 times with a remainder of 12.
The next digit of our result is 9. 
Result so far: 1509.0
Subtract 153 from 165 to get 12.
Fetch the next digit (7) from the dividend, attach it to 12 and continue: 127 / 17

On to step 6:
The number 17 fits into 127 7 times, leaving a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 15097.0
If we subtract 119 from 127, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
17 goes into 80 4 times with a remainder of 12.
The next digit of our result is 4. 
Result so far: 15097.4
Deduct 68 from 80 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
17 goes into 120 7 times with a remainder of 1.
The next digit of our result is 7. 
Result so far: 15097.47
Deduct 119 from 120 and we're left 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 9:
When dividing 10 by 17, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 15097.47
Subtract 0 from 10 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.

Let's proceed to step 10:
100 divided by 17 is 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 15097.4705
If we take 85 away from 100, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 11:
17 can be fit into 150 8 times, resulting in a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 15097.47058
If we subtract 136 from 150, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 12:
140 divided by 17 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 15097.470588
If we take 136 away from 140, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 15097.470588 with a remainder of 4e-07.