We're dividing 135275 by 5 
We want to divide 135275 by 5.

Going ahead to step 1:
5 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 5

On to step 2:
13 divided by 5 is 2 with a remainder of 3.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 3 after subtracting 10 from 13.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 5

Going ahead to step 3:
5 can be fit into 35 7 times, resulting in a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 27.0
The remainder is 0 after subtracting 35 from 35.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 5

Let's proceed to step 4:
The number 5 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 270.0
Subtracting 0 from 2 leaves us with 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 5

Advancing to step 5:
27 divided by 5 is 5 with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 2705.0
Deduct 25 from 27 and we're left with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 5

Step 6:
5 goes into 25 5 times with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 27055.0
Subtract 25 from 25 to 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.

On to step 7:
The number 5 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 27055.0
Subtract 0 from 0 to 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:
5 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 27055.0
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.

The quotient of the division is 27055.0, and the remainder is 0.0.