We look at the division of 135603 by 18 
We want to divide 135603 by 18.

Step 1:
When dividing 1 by 18, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 18

Let's proceed to step 2:
13 divided by 18 is 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 18

Step 3:
When dividing 135 by 18, we get 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 126 from 135, we get 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 18

Going ahead to step 4:
The number 18 fits into 96 5 times, leaving a remainder of 6.
The next digit of our result is 5. 
Result so far: 75.0
If we take 90 away from 96, we end up with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 18

Let's proceed to step 5:
18 can be fit into 60 3 times, resulting in a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 753.0
Deduct 54 from 60 and we're left with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 18

On to step 6:
63 divided by 18 is 3 with a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 7533.0
The remainder is 9 after subtracting 54 from 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
18 can be fit into 90 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 7533.5
If we subtract 90 from 90, we get 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 8:
If we divide 0 by 18, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 7533.5
If we take 0 away from 0, 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.

Step 9:
0 divided by 18 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 7533.5
If we take 0 away from 0, 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.

In conclusion, the division gives 7533.5 with a balance of 0.0.