We're dividing 271008 by 75 
Our goal is to divide 271008 by 75.

Step 1:
If we divide 2 by 75, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 75

On to step 2:
75 can be fit into 27 0 times, resulting in a remainder of 27.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 27 and we're left with 27.
Include the next digit (1) from the dividend after 27, then repeat: 271 / 75

Advancing to step 3:
75 goes into 271 3 times with a remainder of 46.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 46 after subtracting 225 from 271.
Fetch the next digit (0) from the dividend, attach it to 46 and continue: 460 / 75

Let's proceed to step 4:
The number 75 fits into 460 6 times, leaving a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 36.0
If we take 450 away from 460, we end up with 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 75

Let's proceed to step 5:
If we divide 100 by 75, we get 1 and a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 361.0
If we subtract 75 from 100, we get 25.
Grab the next digit (8) from the dividend, add it to 25, then carry on: 258 / 75

Going ahead to step 6:
If we divide 258 by 75, we get 3 and a remainder of 33.
Write down 3 as next digit of the result. 
Result so far: 3613.0
Deduct 225 from 258 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
The number 75 fits into 330 4 times, leaving a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 3613.4
If we subtract 300 from 330, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
75 can be fit into 300 4 times, resulting in a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 3613.44
Deduct 300 from 300 and we're left 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.

Our division results in 3613.44 with a remaining 0.0.