We're dividing 91117 by 96 
We want to figure out the number of times 91117 can be divided by 96.

Advancing to step 1:
The number 96 fits into 9 0 times, leaving a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Fetch the next digit (1) from the dividend, attach it to 9 and continue: 91 / 96

Advancing to step 2:
91 divided by 96 is 0 with a remainder of 91.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 91 leaves us with 91.
Include the next digit (1) from the dividend after 91, then repeat: 911 / 96

Advancing to step 3:
When dividing 911 by 96, we get 9 with a remainder of 47.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Deduct 864 from 911 and we're left with 47.
Include the next digit (1) from the dividend after 47, then repeat: 471 / 96

On to step 4:
96 can be fit into 471 4 times, resulting in a remainder of 87.
Write down 4 as next digit of the result. 
Result so far: 94.0
Subtract 384 from 471 to get 87.
Include the next digit (7) from the dividend after 87, then repeat: 877 / 96

Moving on to step 5:
877 divided by 96 is 9 with a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 949.0
Subtracting 864 from 877 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 6:
When dividing 130 by 96, we get 1 with a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 949.1
The remainder is 34 after subtracting 96 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 7:
The number 96 fits into 340 3 times, leaving a remainder of 52.
The number 3 becomes the next digit in our result. 
Result so far: 949.13
Subtract 288 from 340 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 8:
520 divided by 96 is 5 with a remainder of 40.
The next digit of our result is 5. 
Result so far: 949.135
If we subtract 480 from 520, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
The number 96 fits into 400 4 times, leaving a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 949.1354
Subtract 384 from 400 to get 16.
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 10:
160 divided by 96 is 1 with a remainder of 64.
Write down 1 as next digit of the result. 
Result so far: 949.13541
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.

Advancing to step 11:
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: 949.135416
If we subtract 576 from 640, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 12:
96 can be fit into 640 6 times, resulting in a remainder of 64.
The next digit of our result is 6. 
Result so far: 949.1354166
Subtracting 576 from 640 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.

The final result is 949.1354166 with a remainder of 6.4e-07.