We look at the division of 100891 by 96 
We want to divide 100891 by 96.

Step 1:
The number 96 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 96

Advancing to step 2:
When dividing 10 by 96, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 96

Step 3:
The number 96 fits into 100 1 times, leaving a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 96 away from 100, we end up with 4.
Append the next digit (8) from the dividend to 4 and continue with: 48 / 96

Moving on to step 4:
When dividing 48 by 96, we get 0 with a remainder of 48.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 48 to get 48.
Append the next digit (9) from the dividend to 48 and continue with: 489 / 96

Going ahead to step 5:
96 goes into 489 5 times with a remainder of 9.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
If we take 480 away from 489, we end up with 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 96

Advancing to step 6:
96 goes into 91 0 times with a remainder of 91.
Use 0 as the next digit of our solution. 
Result so far: 1050.0
The remainder is 91 after subtracting 0 from 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:
The number 96 fits into 910 9 times, leaving a remainder of 46.
Put 9 as the next digit of the answer. 
Result so far: 1050.9
If we subtract 864 from 910, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 8:
460 divided by 96 is 4 with a remainder of 76.
Write down 4 as next digit of the result. 
Result so far: 1050.94
If we take 384 away from 460, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 9:
760 divided by 96 is 7 with a remainder of 88.
Put 7 as the next digit of the answer. 
Result so far: 1050.947
The remainder is 88 after subtracting 672 from 760.
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.
Use 9 as the next digit of our solution. 
Result so far: 1050.9479
If we take 864 away from 880, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 11:
160 divided by 96 is 1 with a remainder of 64.
The number 1 becomes the next digit in our result. 
Result so far: 1050.94791
Subtracting 96 from 160 leaves us 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.

Going ahead to step 12:
96 can be fit into 640 6 times, resulting in a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 1050.947916
If we take 576 away from 640, we end up 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.

Going ahead to step 13:
96 goes into 640 6 times with a remainder of 64.
The next digit of our result is 6. 
Result so far: 1050.9479166
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.

After the division, we end up with 1050.9479166 and a remainder of 6.4e-07.