We look at the division of 135266 by 57 
We want to figure out the number of times 135266 can be divided by 57.

Going ahead to step 1:
1 divided by 57 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 57

Moving on to step 2:
The number 57 fits into 13 0 times, leaving a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 57

Step 3:
135 divided by 57 is 2 with a remainder of 21.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 114 from 135 and we're left with 21.
Fetch the next digit (2) from the dividend, attach it to 21 and continue: 212 / 57

Advancing to step 4:
57 goes into 212 3 times with a remainder of 41.
Put 3 as the next digit of the answer. 
Result so far: 23.0
Subtract 171 from 212 to get 41.
Include the next digit (6) from the dividend after 41, then repeat: 416 / 57

Moving on to step 5:
416 divided by 57 is 7 with a remainder of 17.
The next digit of our result is 7. 
Result so far: 237.0
If we take 399 away from 416, we end up with 17.
Bring next digit (6) of the dividend behind the 17 and repeat the process: 176 / 57

Let's proceed to step 6:
57 can be fit into 176 3 times, resulting in a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 2373.0
Subtract 171 from 176 to get 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:
The number 57 fits into 50 0 times, leaving a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 2373.0
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 8:
The number 57 fits into 500 8 times, leaving a remainder of 44.
Write down 8 as next digit of the result. 
Result so far: 2373.08
Subtract 456 from 500 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 9:
57 can be fit into 440 7 times, resulting in a remainder of 41.
Write down 7 as next digit of the result. 
Result so far: 2373.087
If we take 399 away from 440, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 10:
When dividing 410 by 57, we get 7 with a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 2373.0877
If we take 399 away from 410, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final result is 2373.0877 with a remainder of 0.00011.