11297 ÷ 91 
Our goal is to divide 11297 by 91.

Advancing to step 1:
91 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 91

Let's proceed to step 2:
When dividing 11 by 91, we get 0 with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Grab the next digit (2) from the dividend, add it to 11, then carry on: 112 / 91

Let's proceed to step 3:
112 divided by 91 is 1 with a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 91 from 112, we get 21.
Append the next digit (9) from the dividend to 21 and continue with: 219 / 91

Step 4:
219 divided by 91 is 2 with a remainder of 37.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we subtract 182 from 219, we get 37.
Bring next digit (7) of the dividend behind the 37 and repeat the process: 377 / 91

Moving on to step 5:
The number 91 fits into 377 4 times, leaving a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 124.0
Subtract 364 from 377 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 6:
130 divided by 91 is 1 with a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 124.1
Subtracting 91 from 130 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 7:
91 can be fit into 390 4 times, resulting in a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 124.14
The remainder is 26 after subtracting 364 from 390.
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 8:
260 divided by 91 is 2 with a remainder of 78.
The next digit of our result is 2. 
Result so far: 124.142
Deduct 182 from 260 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Let's proceed to step 9:
780 divided by 91 is 8 with a remainder of 52.
The next digit of our result is 8. 
Result so far: 124.1428
If we take 728 away from 780, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 10:
If we divide 520 by 91, we get 5 and a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 124.14285
Subtract 455 from 520 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 11:
The number 91 fits into 650 7 times, leaving a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 124.142857
Subtracting 637 from 650 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 12:
When dividing 130 by 91, we get 1 with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 124.1428571
If we take 91 away from 130, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 13:
If we divide 390 by 91, we get 4 and a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 124.14285714
Subtracting 364 from 390 leaves us 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.

In conclusion, the division gives 124.14285714 with a balance of 2.6e-08.