We look at the division of 91145 by 96 
We want to divide 91145 by 96.

Let's proceed to step 1:
96 goes into 9 0 times with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 96

On to step 2:
When dividing 91 by 96, we get 0 with a remainder of 91.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 91, we get 91.
Fetch the next digit (1) from the dividend, attach it to 91 and continue: 911 / 96

Going ahead to step 3:
911 divided by 96 is 9 with a remainder of 47.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtracting 864 from 911 leaves us with 47.
Fetch the next digit (4) from the dividend, attach it to 47 and continue: 474 / 96

Let's proceed to step 4:
96 can be fit into 474 4 times, resulting in a remainder of 90.
Put 4 as the next digit of the answer. 
Result so far: 94.0
Subtract 384 from 474 to get 90.
Take the next digit (5) from the dividend and append it to 90, then repeat: 905 / 96

Let's proceed to step 5:
When dividing 905 by 96, we get 9 with a remainder of 41.
The next digit of our result is 9. 
Result so far: 949.0
If we take 864 away from 905, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 6:
96 can be fit into 410 4 times, resulting in a remainder of 26.
The next digit of our result is 4. 
Result so far: 949.4
Deduct 384 from 410 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 7:
96 goes into 260 2 times with a remainder of 68.
The next digit of our result is 2. 
Result so far: 949.42
If we take 192 away from 260, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 8:
96 can be fit into 680 7 times, resulting in a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 949.427
If we subtract 672 from 680, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 9:
When dividing 80 by 96, we get 0 with a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 949.427
If we take 0 away from 80, we end up 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.

Step 10:
If we divide 800 by 96, we get 8 and a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 949.42708
If we take 768 away from 800, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 11:
96 goes into 320 3 times with a remainder of 32.
Put 3 as the next digit of the answer. 
Result so far: 949.427083
If we take 288 away from 320, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 12:
When dividing 320 by 96, we get 3 with a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 949.4270833
Deduct 288 from 320 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 949.4270833 with a remainder of 3.2e-07.