Let's divide 271465 by 75
Our goal is to divide 271465 by 75.

Advancing to step 1:
2 divided by 75 is 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 75

Going ahead to step 2:
When dividing 27 by 75, we get 0 with a remainder of 27.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 27, we get 27.
Bring next digit (1) of the dividend behind the 27 and repeat the process: 271 / 75

Going ahead to step 3:
The number 75 fits into 271 3 times, leaving a remainder of 46.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 225 from 271 and we're left with 46.
Append the next digit (4) from the dividend to 46 and continue with: 464 / 75

Moving on to step 4:
75 can be fit into 464 6 times, resulting in a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 36.0
If we subtract 450 from 464, we get 14.
Take the next digit (6) from the dividend and append it to 14, then repeat: 146 / 75

Moving on to step 5:
If we divide 146 by 75, we get 1 and a remainder of 71.
Write down 1 as next digit of the result. 
Result so far: 361.0
The remainder is 71 after subtracting 75 from 146.
Include the next digit (5) from the dividend after 71, then repeat: 715 / 75

Going ahead to step 6:
75 goes into 715 9 times with a remainder of 40.
Use 9 as the next digit of our solution. 
Result so far: 3619.0
Subtract 675 from 715 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 7:
If we divide 400 by 75, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 3619.5
Deduct 375 from 400 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
If we divide 250 by 75, we get 3 and a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 3619.53
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 3619.533
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 3619.533 with a remainder of 0.0025.