We look at the division of 17171497 by 251 
Let's see how many times 251 fits into 17171497.

On to step 1:
If we divide 1 by 251, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 251

Step 2:
251 goes into 17 0 times with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Grab the next digit (1) from the dividend, add it to 17, then carry on: 171 / 251

On to step 3:
251 goes into 171 0 times with a remainder of 171.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 171 to get 171.
Fetch the next digit (7) from the dividend, attach it to 171 and continue: 1717 / 251

Advancing to step 4:
251 can be fit into 1717 6 times, resulting in a remainder of 211.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 1506 from 1717 leaves us with 211.
Take the next digit (1) from the dividend and append it to 211, then repeat: 2111 / 251

On to step 5:
When dividing 2111 by 251, we get 8 with a remainder of 103.
Put 8 as the next digit of the answer. 
Result so far: 68.0
Subtracting 2008 from 2111 leaves us with 103.
Append the next digit (4) from the dividend to 103 and continue with: 1034 / 251

Advancing to step 6:
If we divide 1034 by 251, we get 4 and a remainder of 30.
Write down 4 as next digit of the result. 
Result so far: 684.0
Deduct 1004 from 1034 and we're left with 30.
Fetch the next digit (9) from the dividend, attach it to 30 and continue: 309 / 251

Advancing to step 7:
251 can be fit into 309 1 times, resulting in a remainder of 58.
The next digit of our result is 1. 
Result so far: 6841.0
Subtracting 251 from 309 leaves us with 58.
Fetch the next digit (7) from the dividend, attach it to 58 and continue: 587 / 251

Let's proceed to step 8:
251 goes into 587 2 times with a remainder of 85.
Write down 2 as next digit of the result. 
Result so far: 68412.0
Subtract 502 from 587 to get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

On to step 9:
The number 251 fits into 850 3 times, leaving a remainder of 97.
The number 3 becomes the next digit in our result. 
Result so far: 68412.3
If we take 753 away from 850, we end up with 97.
Since there are no more digits in the dividend, we add a zero to the remainder making it 970, and continue the process.

Let's proceed to step 10:
When dividing 970 by 251, we get 3 with a remainder of 217.
The next digit of our result is 3. 
Result so far: 68412.33
Deduct 753 from 970 and we're left with 217.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2170, and continue the process.

After the division, we end up with 68412.33 and a remainder of 0.217.