We're dividing 256661 by 17 
We're looking to find how many times 17 goes into 256661.

Moving on to step 1:
When dividing 2 by 17, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 17

Let's proceed to step 2:
17 goes into 25 1 times with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 17 from 25, we get 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 17

Advancing to step 3:
The number 17 fits into 86 5 times, leaving a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we subtract 85 from 86, we get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 17

Advancing to step 4:
17 goes into 16 0 times with a remainder of 16.
The next digit of our result is 0. 
Result so far: 150.0
If we subtract 0 from 16, we get 16.
Fetch the next digit (6) from the dividend, attach it to 16 and continue: 166 / 17

Step 5:
17 can be fit into 166 9 times, resulting in a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 1509.0
Subtracting 153 from 166 leaves us with 13.
Bring next digit (1) of the dividend behind the 13 and repeat the process: 131 / 17

Moving on to step 6:
The number 17 fits into 131 7 times, leaving a remainder of 12.
The next digit of our result is 7. 
Result so far: 15097.0
If we subtract 119 from 131, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
When dividing 120 by 17, we get 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 15097.7
Subtract 119 from 120 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
17 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 15097.7
Deduct 0 from 10 and we're left 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.

Let's proceed to step 9:
When dividing 100 by 17, we get 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 15097.705
Subtract 85 from 100 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 10:
150 divided by 17 is 8 with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 15097.7058
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 11:
When dividing 140 by 17, we get 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 15097.70588
Subtract 136 from 140 to get 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 quotient of the division is 15097.70588, and the remainder is 4e-06.