We divide 999 by 91
Let's see how many times 91 fits into 999.

Going ahead to step 1:
The number 91 fits into 9 0 times, leaving a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 91

Advancing to step 2:
91 can be fit into 99 1 times, resulting in a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 8 after subtracting 91 from 99.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 91

Moving on to step 3:
The number 91 fits into 89 0 times, leaving a remainder of 89.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 89 to get 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Moving on to step 4:
When dividing 890 by 91, we get 9 with a remainder of 71.
Write down 9 as next digit of the result. 
Result so far: 10.9
Deduct 819 from 890 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 5:
91 goes into 710 7 times with a remainder of 73.
The next digit of our result is 7. 
Result so far: 10.97
The remainder is 73 after subtracting 637 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Step 6:
The number 91 fits into 730 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 10.978
Deduct 728 from 730 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
The number 91 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 10.978
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
91 can be fit into 200 2 times, resulting in a remainder of 18.
The next digit of our result is 2. 
Result so far: 10.97802
The remainder is 18 after subtracting 182 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 9:
91 can be fit into 180 1 times, resulting in a remainder of 89.
Use 1 as the next digit of our solution. 
Result so far: 10.978021
If we subtract 91 from 180, we get 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Step 10:
When dividing 890 by 91, we get 9 with a remainder of 71.
Write down 9 as next digit of the result. 
Result so far: 10.9780219
Subtracting 819 from 890 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 11:
The number 91 fits into 710 7 times, leaving a remainder of 73.
The number 7 becomes the next digit in our result. 
Result so far: 10.97802197
If we take 637 away from 710, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

The final outcome is 10.97802197, with a leftover of 7.3e-08.