We divide 11365 by 97
We're looking to find how many times 97 goes into 11365.

Moving on to step 1:
97 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 97

Advancing to step 2:
The number 97 fits into 11 0 times, leaving a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 97

Let's proceed to step 3:
When dividing 113 by 97, we get 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 97 from 113 and we're left with 16.
Bring next digit (6) of the dividend behind the 16 and repeat the process: 166 / 97

Step 4:
97 can be fit into 166 1 times, resulting in a remainder of 69.
The next digit of our result is 1. 
Result so far: 11.0
Subtracting 97 from 166 leaves us with 69.
Include the next digit (5) from the dividend after 69, then repeat: 695 / 97

Advancing to step 5:
97 goes into 695 7 times with a remainder of 16.
Write down 7 as next digit of the result. 
Result so far: 117.0
The remainder is 16 after subtracting 679 from 695.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 6:
The number 97 fits into 160 1 times, leaving a remainder of 63.
The number 1 becomes the next digit in our result. 
Result so far: 117.1
If we subtract 97 from 160, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 7:
If we divide 630 by 97, we get 6 and a remainder of 48.
Write down 6 as next digit of the result. 
Result so far: 117.16
The remainder is 48 after subtracting 582 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 8:
The number 97 fits into 480 4 times, leaving a remainder of 92.
Write down 4 as next digit of the result. 
Result so far: 117.164
If we subtract 388 from 480, we get 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Moving on to step 9:
920 divided by 97 is 9 with a remainder of 47.
Write down 9 as next digit of the result. 
Result so far: 117.1649
The remainder is 47 after subtracting 873 from 920.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 10:
97 goes into 470 4 times with a remainder of 82.
Put 4 as the next digit of the answer. 
Result so far: 117.16494
Subtracting 388 from 470 leaves us with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Moving on to step 11:
The number 97 fits into 820 8 times, leaving a remainder of 44.
The next digit of our result is 8. 
Result so far: 117.164948
Subtracting 776 from 820 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 12:
If we divide 440 by 97, we get 4 and a remainder of 52.
The next digit of our result is 4. 
Result so far: 117.1649484
Subtract 388 from 440 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 13:
When dividing 520 by 97, we get 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 117.16494845
If we subtract 485 from 520, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Our division results in 117.16494845 with a remaining 3.5e-08.