We look at the division of 17531369 by 637 
Let's see how many times 637 fits into 17531369.

Moving on to step 1:
When dividing 1 by 637, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 637

Going ahead to step 2:
The number 637 fits into 17 0 times, leaving a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Grab the next digit (5) from the dividend, add it to 17, then carry on: 175 / 637

On to step 3:
If we divide 175 by 637, we get 0 and a remainder of 175.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 175, we get 175.
Append the next digit (3) from the dividend to 175 and continue with: 1753 / 637

Let's proceed to step 4:
When dividing 1753 by 637, we get 2 with a remainder of 479.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 1274 from 1753, we get 479.
Take the next digit (1) from the dividend and append it to 479, then repeat: 4791 / 637

Going ahead to step 5:
When dividing 4791 by 637, we get 7 with a remainder of 332.
The number 7 becomes the next digit in our result. 
Result so far: 27.0
If we subtract 4459 from 4791, we get 332.
Include the next digit (3) from the dividend after 332, then repeat: 3323 / 637

Let's proceed to step 6:
637 goes into 3323 5 times with a remainder of 138.
Write down 5 as next digit of the result. 
Result so far: 275.0
The remainder is 138 after subtracting 3185 from 3323.
Take the next digit (6) from the dividend and append it to 138, then repeat: 1386 / 637

Moving on to step 7:
1386 divided by 637 is 2 with a remainder of 112.
Put 2 as the next digit of the answer. 
Result so far: 2752.0
If we take 1274 away from 1386, we end up with 112.
Fetch the next digit (9) from the dividend, attach it to 112 and continue: 1129 / 637

Moving on to step 8:
The number 637 fits into 1129 1 times, leaving a remainder of 492.
The next digit of our result is 1. 
Result so far: 27521.0
Deduct 637 from 1129 and we're left with 492.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4920, and continue the process.

Let's proceed to step 9:
If we divide 4920 by 637, we get 7 and a remainder of 461.
The next digit of our result is 7. 
Result so far: 27521.7
If we take 4459 away from 4920, we end up with 461.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4610, and continue the process.

Moving on to step 10:
4610 divided by 637 is 7 with a remainder of 151.
Record the quotient 7 as the next digit in the result. 
Result so far: 27521.77
If we take 4459 away from 4610, we end up with 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1510, and continue the process.

The final result is 27521.77 with a remainder of 0.151.