We look at the division of 91109 by 91 
Let's see how many times 91 fits into 91109.

Let's proceed to step 1:
9 divided by 91 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 91

Let's proceed to step 2:
If we divide 91 by 91, we get 1 and a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 91 from 91 and we're left with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 91

On to step 3:
91 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 91

Let's proceed to step 4:
91 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 100.0
Subtracting 0 from 10 leaves us with 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 91

Advancing to step 5:
If we divide 109 by 91, we get 1 and a remainder of 18.
The next digit of our result is 1. 
Result so far: 1001.0
If we take 91 away from 109, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 6:
If we divide 180 by 91, we get 1 and a remainder of 89.
Record the quotient 1 as the next digit in the result. 
Result so far: 1001.1
Subtracting 91 from 180 leaves us with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Let's proceed to step 7:
When dividing 890 by 91, we get 9 with a remainder of 71.
Use 9 as the next digit of our solution. 
Result so far: 1001.19
If we take 819 away from 890, we end up 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.

Going ahead to step 8:
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: 1001.197
Subtracting 637 from 710 leaves us 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.

Moving on to step 9:
When dividing 730 by 91, we get 8 with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 1001.1978
The remainder is 2 after subtracting 728 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 10:
91 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 1001.1978
Deduct 0 from 20 and we're left with 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 11:
If we divide 200 by 91, we get 2 and a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 1001.197802
If we take 182 away from 200, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 12:
The number 91 fits into 180 1 times, leaving a remainder of 89.
The number 1 becomes the next digit in our result. 
Result so far: 1001.1978021
Deduct 91 from 180 and we're left with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

On to step 13:
91 goes into 890 9 times with a remainder of 71.
Record the quotient 9 as the next digit in the result. 
Result so far: 1001.19780219
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.

In conclusion, the division gives 1001.19780219 with a balance of 7.1e-08.