We look at the division of 872635 by 96 
We're looking to find how many times 96 goes into 872635.

Step 1:
If we divide 8 by 96, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 96

Moving on to step 2:
87 divided by 96 is 0 with a remainder of 87.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 87, we get 87.
Fetch the next digit (2) from the dividend, attach it to 87 and continue: 872 / 96

Advancing to step 3:
If we divide 872 by 96, we get 9 and a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Subtract 864 from 872 to get 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 96

Step 4:
96 goes into 86 0 times with a remainder of 86.
Write down 0 as next digit of the result. 
Result so far: 90.0
Subtracting 0 from 86 leaves us with 86.
Append the next digit (3) from the dividend to 86 and continue with: 863 / 96

On to step 5:
The number 96 fits into 863 8 times, leaving a remainder of 95.
Use 8 as the next digit of our solution. 
Result so far: 908.0
The remainder is 95 after subtracting 768 from 863.
Bring next digit (5) of the dividend behind the 95 and repeat the process: 955 / 96

Moving on to step 6:
955 divided by 96 is 9 with a remainder of 91.
The number 9 becomes the next digit in our result. 
Result so far: 9089.0
If we take 864 away from 955, we end up with 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Going ahead to step 7:
910 divided by 96 is 9 with a remainder of 46.
The number 9 becomes the next digit in our result. 
Result so far: 9089.9
The remainder is 46 after subtracting 864 from 910.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 8:
When dividing 460 by 96, we get 4 with a remainder of 76.
Write down 4 as next digit of the result. 
Result so far: 9089.94
The remainder is 76 after subtracting 384 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 9:
760 divided by 96 is 7 with a remainder of 88.
Record the quotient 7 as the next digit in the result. 
Result so far: 9089.947
If we subtract 672 from 760, we get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Going ahead to step 10:
If we divide 880 by 96, we get 9 and a remainder of 16.
The number 9 becomes the next digit in our result. 
Result so far: 9089.9479
The remainder is 16 after subtracting 864 from 880.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 11:
When dividing 160 by 96, we get 1 with a remainder of 64.
Record the quotient 1 as the next digit in the result. 
Result so far: 9089.94791
The remainder is 64 after subtracting 96 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 12:
640 divided by 96 is 6 with a remainder of 64.
The next digit of our result is 6. 
Result so far: 9089.947916
Deduct 576 from 640 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 13:
640 divided by 96 is 6 with a remainder of 64.
Record the quotient 6 as the next digit in the result. 
Result so far: 9089.9479166
Deduct 576 from 640 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The final result is 9089.9479166 with a remainder of 6.4e-07.