Let's divide 11632 by 91
Our goal is to divide 11632 by 91.

Advancing to step 1:
The number 91 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 91

Moving on to step 2:
91 goes into 11 0 times with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Take the next digit (6) from the dividend and append it to 11, then repeat: 116 / 91

Moving on to step 3:
116 divided by 91 is 1 with a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 91 from 116 to get 25.
Append the next digit (3) from the dividend to 25 and continue with: 253 / 91

On to step 4:
253 divided by 91 is 2 with a remainder of 71.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Deduct 182 from 253 and we're left with 71.
Bring next digit (2) of the dividend behind the 71 and repeat the process: 712 / 91

On to step 5:
91 can be fit into 712 7 times, resulting in a remainder of 75.
Write down 7 as next digit of the result. 
Result so far: 127.0
Deduct 637 from 712 and we're left with 75.
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 6:
If we divide 750 by 91, we get 8 and a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 127.8
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.

Let's proceed to step 7:
220 divided by 91 is 2 with a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 127.82
Subtracting 182 from 220 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 8:
If we divide 380 by 91, we get 4 and a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 127.824
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.

Step 9:
When dividing 160 by 91, we get 1 with a remainder of 69.
Put 1 as the next digit of the answer. 
Result so far: 127.8241
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.

Let's proceed to step 10:
91 goes into 690 7 times with a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 127.82417
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.

Step 11:
91 can be fit into 530 5 times, resulting in a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 127.824175
If we subtract 455 from 530, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 12:
If we divide 750 by 91, we get 8 and a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 127.8241758
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.

Let's proceed to step 13:
When dividing 220 by 91, we get 2 with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 127.82417582
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.

The final outcome is 127.82417582, with a leftover of 3.8e-08.