We're dividing 271799 by 75 
We want to divide 271799 by 75.

Advancing to step 1:
When dividing 2 by 75, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 75

On 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
The remainder is 27 after subtracting 0 from 27.
Fetch the next digit (1) from the dividend, attach it to 27 and continue: 271 / 75

Step 3:
271 divided by 75 is 3 with a remainder of 46.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 225 from 271 to get 46.
Take the next digit (7) from the dividend and append it to 46, then repeat: 467 / 75

Advancing to step 4:
The number 75 fits into 467 6 times, leaving a remainder of 17.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
If we take 450 away from 467, we end up with 17.
Grab the next digit (9) from the dividend, add it to 17, then carry on: 179 / 75

Let's proceed to step 5:
75 goes into 179 2 times with a remainder of 29.
Use 2 as the next digit of our solution. 
Result so far: 362.0
If we subtract 150 from 179, we get 29.
Take the next digit (9) from the dividend and append it to 29, then repeat: 299 / 75

On to step 6:
If we divide 299 by 75, we get 3 and a remainder of 74.
Write down 3 as next digit of the result. 
Result so far: 3623.0
Deduct 225 from 299 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 7:
If we divide 740 by 75, we get 9 and a remainder of 65.
Use 9 as the next digit of our solution. 
Result so far: 3623.9
Subtract 675 from 740 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 8:
75 can be fit into 650 8 times, resulting in a remainder of 50.
Record the quotient 8 as the next digit in the result. 
Result so far: 3623.98
The remainder is 50 after subtracting 600 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
500 divided by 75 is 6 with a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 3623.986
If we take 450 away from 500, we end up 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 10:
The number 75 fits into 500 6 times, leaving a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 3623.9866
Deduct 450 from 500 and we're left 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.

The final result is 3623.9866 with a remainder of 0.0005.