135559 divided by 8 
We want to figure out the number of times 135559 can be divided by 8.

Advancing to step 1:
1 divided by 8 is 0 with 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.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 8

Moving on to step 2:
8 goes into 13 1 times with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 8 from 13 and we're left with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 8

Step 3:
55 divided by 8 is 6 with a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 16.0
If we take 48 away from 55, we end up with 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 8

On to step 4:
The number 8 fits into 75 9 times, leaving a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 169.0
The remainder is 3 after subtracting 72 from 75.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 8

Step 5:
35 divided by 8 is 4 with a remainder of 3.
The next digit of our result is 4. 
Result so far: 1694.0
The remainder is 3 after subtracting 32 from 35.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 8

Going ahead to step 6:
If we divide 39 by 8, we get 4 and a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 16944.0
Deduct 32 from 39 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
8 can be fit into 70 8 times, resulting in a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 16944.8
The remainder is 6 after subtracting 64 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
If we divide 60 by 8, we get 7 and a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 16944.87
Subtracting 56 from 60 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
The number 8 fits into 40 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 16944.875
If we take 40 away from 40, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 10:
The number 8 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 16944.875
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 11:
0 divided by 8 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 16944.875
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 16944.875 with a balance of 0.0.