We're dividing 11598558 by 108 
We're looking to find how many times 108 goes into 11598558.

Let's proceed to step 1:
When dividing 1 by 108, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 108

Advancing to step 2:
11 divided by 108 is 0 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.
Grab the next digit (5) from the dividend, add it to 11, then carry on: 115 / 108

Moving on to step 3:
108 goes into 115 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 108 away from 115, we end up with 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 108

Going ahead to step 4:
108 can be fit into 79 0 times, resulting in a remainder of 79.
The next digit of our result is 0. 
Result so far: 10.0
If we subtract 0 from 79, we get 79.
Fetch the next digit (8) from the dividend, attach it to 79 and continue: 798 / 108

Going ahead to step 5:
If we divide 798 by 108, we get 7 and a remainder of 42.
Put 7 as the next digit of the answer. 
Result so far: 107.0
Subtract 756 from 798 to get 42.
Take the next digit (5) from the dividend and append it to 42, then repeat: 425 / 108

Going ahead to step 6:
If we divide 425 by 108, we get 3 and a remainder of 101.
Record the quotient 3 as the next digit in the result. 
Result so far: 1073.0
Subtract 324 from 425 to get 101.
Fetch the next digit (5) from the dividend, attach it to 101 and continue: 1015 / 108

Moving on to step 7:
108 can be fit into 1015 9 times, resulting in a remainder of 43.
Use 9 as the next digit of our solution. 
Result so far: 10739.0
Subtracting 972 from 1015 leaves us with 43.
Fetch the next digit (8) from the dividend, attach it to 43 and continue: 438 / 108

On to step 8:
108 goes into 438 4 times with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 107394.0
Deduct 432 from 438 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 9:
108 goes into 60 0 times with a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 107394.0
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 10:
If we divide 600 by 108, we get 5 and a remainder of 60.
The next digit of our result is 5. 
Result so far: 107394.05
If we subtract 540 from 600, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 11:
If we divide 600 by 108, we get 5 and a remainder of 60.
The next digit of our result is 5. 
Result so far: 107394.055
If we subtract 540 from 600, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Our division results in 107394.055 with a remaining 0.006.