We're dividing 871795 by 75 
We're looking to find how many times 75 goes into 871795.

Advancing to step 1:
8 divided by 75 is 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 75

Advancing to step 2:
87 divided by 75 is 1 with a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 75 from 87 leaves us with 12.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 75

Moving on to step 3:
121 divided by 75 is 1 with a remainder of 46.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtracting 75 from 121 leaves us with 46.
Take the next digit (7) from the dividend and append it to 46, then repeat: 467 / 75

Advancing to step 4:
75 can be fit into 467 6 times, resulting in a remainder of 17.
The number 6 becomes the next digit in our result. 
Result so far: 116.0
The remainder is 17 after subtracting 450 from 467.
Include the next digit (9) from the dividend after 17, then repeat: 179 / 75

Advancing to step 5:
When dividing 179 by 75, we get 2 with a remainder of 29.
The number 2 becomes the next digit in our result. 
Result so far: 1162.0
Subtracting 150 from 179 leaves us with 29.
Grab the next digit (5) from the dividend, add it to 29, then carry on: 295 / 75

On to step 6:
75 goes into 295 3 times with a remainder of 70.
The number 3 becomes the next digit in our result. 
Result so far: 11623.0
If we take 225 away from 295, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 7:
75 can be fit into 700 9 times, resulting in a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 11623.9
Subtract 675 from 700 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 8:
75 goes into 250 3 times with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 11623.93
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 9:
250 divided by 75 is 3 with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 11623.933
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 11623.933 with a balance of 0.0025.