271730 ÷ 75 
We're looking to find how many times 75 goes into 271730.

On to step 1:
2 divided by 75 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 75

Going ahead to step 2:
27 divided by 75 is 0 with a remainder of 27.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 27 and we're left with 27.
Grab the next digit (1) from the dividend, add it to 27, then carry on: 271 / 75

On to step 3:
75 can be fit into 271 3 times, resulting in a remainder of 46.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 225 from 271 leaves us with 46.
Grab the next digit (7) from the dividend, add it to 46, then carry on: 467 / 75

Let's proceed to step 4:
The number 75 fits into 467 6 times, leaving a remainder of 17.
Put 6 as the next digit of the answer. 
Result so far: 36.0
Subtract 450 from 467 to get 17.
Grab the next digit (3) from the dividend, add it to 17, then carry on: 173 / 75

On to step 5:
173 divided by 75 is 2 with a remainder of 23.
Write down 2 as next digit of the result. 
Result so far: 362.0
Deduct 150 from 173 and we're left with 23.
Grab the next digit (0) from the dividend, add it to 23, then carry on: 230 / 75

On to step 6:
The number 75 fits into 230 3 times, leaving a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 3623.0
The remainder is 5 after subtracting 225 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
If we divide 50 by 75, we get 0 and a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 3623.0
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 8:
If we divide 500 by 75, we get 6 and a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 3623.06
The remainder is 50 after subtracting 450 from 500.
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:
If we divide 500 by 75, we get 6 and a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 3623.066
Subtract 450 from 500 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Our division results in 3623.066 with a remaining 0.005.