We're dividing 11688091 by 114 
We want to figure out the number of times 11688091 can be divided by 114.

On to step 1:
114 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 114

Going ahead to step 2:
114 can be fit into 11 0 times, resulting in a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 114

Moving on to step 3:
If we divide 116 by 114, we get 1 and a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 114 from 116 leaves us with 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 114

Let's proceed to step 4:
The number 114 fits into 28 0 times, leaving a remainder of 28.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 28 to get 28.
Take the next digit (8) from the dividend and append it to 28, then repeat: 288 / 114

Going ahead to step 5:
The number 114 fits into 288 2 times, leaving a remainder of 60.
The next digit of our result is 2. 
Result so far: 102.0
The remainder is 60 after subtracting 228 from 288.
Append the next digit (0) from the dividend to 60 and continue with: 600 / 114

Moving on to step 6:
When dividing 600 by 114, we get 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 1025.0
The remainder is 30 after subtracting 570 from 600.
Fetch the next digit (9) from the dividend, attach it to 30 and continue: 309 / 114

Advancing to step 7:
When dividing 309 by 114, we get 2 with a remainder of 81.
Record the quotient 2 as the next digit in the result. 
Result so far: 10252.0
If we take 228 away from 309, we end up with 81.
Bring next digit (1) of the dividend behind the 81 and repeat the process: 811 / 114

Let's proceed to step 8:
The number 114 fits into 811 7 times, leaving a remainder of 13.
The next digit of our result is 7. 
Result so far: 102527.0
The remainder is 13 after subtracting 798 from 811.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 9:
114 can be fit into 130 1 times, resulting in a remainder of 16.
The next digit of our result is 1. 
Result so far: 102527.1
If we subtract 114 from 130, we get 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 10:
If we divide 160 by 114, we get 1 and a remainder of 46.
The next digit of our result is 1. 
Result so far: 102527.11
The remainder is 46 after subtracting 114 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

In conclusion, the division gives 102527.11 with a balance of 0.046.