We look at the division of 135565 by 10 
We're looking to find how many times 10 goes into 135565.

Step 1:
10 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 10

Step 2:
13 divided by 10 is 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 10 from 13 leaves us with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 10

Moving on to step 3:
35 divided by 10 is 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 13.0
Subtracting 30 from 35 leaves us with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 10

Advancing to step 4:
The number 10 fits into 55 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 135.0
If we take 50 away from 55, we end up with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 10

Let's proceed to step 5:
10 goes into 56 5 times with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 1355.0
Subtract 50 from 56 to get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 10

Going ahead to step 6:
65 divided by 10 is 6 with a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 13556.0
If we take 60 away from 65, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
50 divided by 10 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 13556.5
Subtracting 50 from 50 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.

Step 8:
10 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 13556.5
If we subtract 0 from 0, 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.

Going ahead to step 9:
When dividing 0 by 10, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 13556.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 13556.5 with a remainder of 0.0.