We look at the division of 9116 by 91 
We want to figure out the number of times 9116 can be divided by 91.

Moving on to step 1:
9 divided by 91 is 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 91

Advancing to step 2:
The number 91 fits into 91 1 times, leaving a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 91 from 91 to get 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 91

On to step 3:
The number 91 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 91

On to step 4:
16 divided by 91 is 0 with a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 100.0
Deduct 0 from 16 and we're left 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.

Let's proceed to step 5:
160 divided by 91 is 1 with a remainder of 69.
The next digit of our result is 1. 
Result so far: 100.1
Subtract 91 from 160 to get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Going ahead to step 6:
91 goes into 690 7 times with a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 100.17
Subtract 637 from 690 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 7:
530 divided by 91 is 5 with a remainder of 75.
Put 5 as the next digit of the answer. 
Result so far: 100.175
The remainder is 75 after subtracting 455 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Going ahead to step 8:
750 divided by 91 is 8 with a remainder of 22.
The next digit of our result is 8. 
Result so far: 100.1758
Subtracting 728 from 750 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 9:
220 divided by 91 is 2 with a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 100.17582
If we subtract 182 from 220, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 10:
If we divide 380 by 91, we get 4 and a remainder of 16.
The next digit of our result is 4. 
Result so far: 100.175824
Deduct 364 from 380 and we're left 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.

Advancing to step 11:
91 goes into 160 1 times with a remainder of 69.
Put 1 as the next digit of the answer. 
Result so far: 100.1758241
Subtract 91 from 160 to get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Moving on to step 12:
91 goes into 690 7 times with a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 100.17582417
If we subtract 637 from 690, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Our division results in 100.17582417 with a remaining 5.3e-08.