We look at the division of 171517 by 26 
We want to divide 171517 by 26.

Step 1:
26 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 26

Advancing to step 2:
When dividing 17 by 26, we get 0 with a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Include the next digit (1) from the dividend after 17, then repeat: 171 / 26

Going ahead to step 3:
The number 26 fits into 171 6 times, leaving a remainder of 15.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 15 after subtracting 156 from 171.
Include the next digit (5) from the dividend after 15, then repeat: 155 / 26

Step 4:
When dividing 155 by 26, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 65.0
The remainder is 25 after subtracting 130 from 155.
Append the next digit (1) from the dividend to 25 and continue with: 251 / 26

Moving on to step 5:
When dividing 251 by 26, we get 9 with a remainder of 17.
The next digit of our result is 9. 
Result so far: 659.0
If we take 234 away from 251, we end up with 17.
Append the next digit (7) from the dividend to 17 and continue with: 177 / 26

Going ahead to step 6:
The number 26 fits into 177 6 times, leaving a remainder of 21.
The number 6 becomes the next digit in our result. 
Result so far: 6596.0
Subtracting 156 from 177 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
The number 26 fits into 210 8 times, leaving a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 6596.8
Deduct 208 from 210 and we're left 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 8:
20 divided by 26 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 6596.8
If we subtract 0 from 20, 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.

Let's proceed to step 9:
The number 26 fits into 200 7 times, leaving a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 6596.807
Subtract 182 from 200 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 10:
The number 26 fits into 180 6 times, leaving a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 6596.8076
The remainder is 24 after subtracting 156 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 11:
240 divided by 26 is 9 with a remainder of 6.
The next digit of our result is 9. 
Result so far: 6596.80769
If we take 234 away from 240, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 12:
When dividing 60 by 26, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 6596.807692
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 13:
80 divided by 26 is 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 6596.8076923
Subtract 78 from 80 to get 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 14:
26 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 6596.8076923
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 6596.8076923 with a remaining 2e-08.