We divide 871921 by 75
We're looking to find how many times 75 goes into 871921.

Let's proceed to step 1:
8 divided by 75 is 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 75

On to step 2:
87 divided by 75 is 1 with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 12 after subtracting 75 from 87.
Bring next digit (1) of the dividend behind the 12 and repeat the process: 121 / 75

Advancing to step 3:
121 divided by 75 is 1 with a remainder of 46.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 75 away from 121, we end up with 46.
Append the next digit (9) from the dividend to 46 and continue with: 469 / 75

On to step 4:
When dividing 469 by 75, we get 6 with a remainder of 19.
The number 6 becomes the next digit in our result. 
Result so far: 116.0
If we subtract 450 from 469, we get 19.
Append the next digit (2) from the dividend to 19 and continue with: 192 / 75

Going ahead to step 5:
192 divided by 75 is 2 with a remainder of 42.
The next digit of our result is 2. 
Result so far: 1162.0
Subtracting 150 from 192 leaves us with 42.
Grab the next digit (1) from the dividend, add it to 42, then carry on: 421 / 75

Let's proceed to step 6:
75 goes into 421 5 times with a remainder of 46.
The next digit of our result is 5. 
Result so far: 11625.0
The remainder is 46 after subtracting 375 from 421.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 7:
The number 75 fits into 460 6 times, leaving a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 11625.6
The remainder is 10 after subtracting 450 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
75 can be fit into 100 1 times, resulting in a remainder of 25.
The next digit of our result is 1. 
Result so far: 11625.61
Subtract 75 from 100 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 9:
If we divide 250 by 75, we get 3 and a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 11625.613
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.

Advancing to step 10:
75 can be fit into 250 3 times, resulting in a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 11625.6133
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.

The quotient of the division is 11625.6133, and the remainder is 0.00025.