We look at the division of 175175 by 18 
We want to figure out the number of times 175175 can be divided by 18.

Going ahead to step 1:
The number 18 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 18

On to step 2:
If we divide 17 by 18, we get 0 and a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Include the next digit (5) from the dividend after 17, then repeat: 175 / 18

Moving on to step 3:
The number 18 fits into 175 9 times, leaving a remainder of 13.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 162 from 175 and we're left with 13.
Append the next digit (1) from the dividend to 13 and continue with: 131 / 18

Going ahead to step 4:
If we divide 131 by 18, we get 7 and a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 97.0
If we subtract 126 from 131, we get 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 18

On to step 5:
If we divide 57 by 18, we get 3 and a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 973.0
If we subtract 54 from 57, we get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 18

On to step 6:
35 divided by 18 is 1 with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 9731.0
Deduct 18 from 35 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
If we divide 170 by 18, we get 9 and a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 9731.9
Deduct 162 from 170 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
18 goes into 80 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 9731.94
Subtracting 72 from 80 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
18 can be fit into 80 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 9731.944
If we subtract 72 from 80, 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.

The quotient of the division is 9731.944, and the remainder is 0.0008.