Let's divide 871964 by 90
We're looking to find how many times 90 goes into 871964.

On to step 1:
The number 90 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 90

Moving on to step 2:
90 goes into 87 0 times with a remainder of 87.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 87 after subtracting 0 from 87.
Bring next digit (1) of the dividend behind the 87 and repeat the process: 871 / 90

On to step 3:
The number 90 fits into 871 9 times, leaving a remainder of 61.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtracting 810 from 871 leaves us with 61.
Include the next digit (9) from the dividend after 61, then repeat: 619 / 90

Let's proceed to step 4:
619 divided by 90 is 6 with a remainder of 79.
The next digit of our result is 6. 
Result so far: 96.0
Subtracting 540 from 619 leaves us with 79.
Fetch the next digit (6) from the dividend, attach it to 79 and continue: 796 / 90

Advancing to step 5:
90 goes into 796 8 times with a remainder of 76.
The next digit of our result is 8. 
Result so far: 968.0
If we subtract 720 from 796, we get 76.
Fetch the next digit (4) from the dividend, attach it to 76 and continue: 764 / 90

On to step 6:
90 can be fit into 764 8 times, resulting in a remainder of 44.
The next digit of our result is 8. 
Result so far: 9688.0
Subtract 720 from 764 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 7:
The number 90 fits into 440 4 times, leaving a remainder of 80.
Record the quotient 4 as the next digit in the result. 
Result so far: 9688.4
Deduct 360 from 440 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 8:
The number 90 fits into 800 8 times, leaving a remainder of 80.
Put 8 as the next digit of the answer. 
Result so far: 9688.48
Deduct 720 from 800 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 9:
The number 90 fits into 800 8 times, leaving a remainder of 80.
Use 8 as the next digit of our solution. 
Result so far: 9688.488
The remainder is 80 after subtracting 720 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

In conclusion, the division gives 9688.488 with a balance of 0.008.