We look at the division of 175641 by 75 
We're looking to find how many times 75 goes into 175641.

Advancing to step 1:
The number 75 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 take 0 away from 1, we end up with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 75

Let's proceed to step 2:
The number 75 fits into 17 0 times, leaving a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Take the next digit (5) from the dividend and append it to 17, then repeat: 175 / 75

On to step 3:
175 divided by 75 is 2 with a remainder of 25.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 25 after subtracting 150 from 175.
Include the next digit (6) from the dividend after 25, then repeat: 256 / 75

Advancing to step 4:
256 divided by 75 is 3 with a remainder of 31.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
If we take 225 away from 256, we end up with 31.
Grab the next digit (4) from the dividend, add it to 31, then carry on: 314 / 75

Going ahead to step 5:
When dividing 314 by 75, we get 4 with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 234.0
If we subtract 300 from 314, we get 14.
Grab the next digit (1) from the dividend, add it to 14, then carry on: 141 / 75

On to step 6:
75 goes into 141 1 times with a remainder of 66.
Record the quotient 1 as the next digit in the result. 
Result so far: 2341.0
Subtracting 75 from 141 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 7:
75 goes into 660 8 times with a remainder of 60.
Use 8 as the next digit of our solution. 
Result so far: 2341.8
Deduct 600 from 660 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 8:
600 divided by 75 is 8 with a remainder of 0.
The next digit of our result is 8. 
Result so far: 2341.88
If we subtract 600 from 600, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 2341.88, with a leftover of 0.0.