Let's divide 271757 by 75
We want to divide 271757 by 75.

On to step 1:
75 can be fit into 2 0 times, resulting in a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 75

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
Deduct 0 from 27 and we're left with 27.
Take the next digit (1) from the dividend and append it to 27, then repeat: 271 / 75

Let's proceed to step 3:
271 divided by 75 is 3 with a remainder of 46.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 225 away from 271, we end up with 46.
Fetch the next digit (7) from the dividend, attach it to 46 and continue: 467 / 75

On to step 4:
467 divided by 75 is 6 with a remainder of 17.
The number 6 becomes the next digit in our result. 
Result so far: 36.0
Deduct 450 from 467 and we're left with 17.
Grab the next digit (5) from the dividend, add it to 17, then carry on: 175 / 75

Let's proceed to step 5:
75 goes into 175 2 times with a remainder of 25.
Use 2 as the next digit of our solution. 
Result so far: 362.0
The remainder is 25 after subtracting 150 from 175.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 75

Moving on to step 6:
75 can be fit into 257 3 times, resulting in a remainder of 32.
Write down 3 as next digit of the result. 
Result so far: 3623.0
If we take 225 away from 257, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 7:
If we divide 320 by 75, we get 4 and a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 3623.4
The remainder is 20 after subtracting 300 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
When dividing 200 by 75, we get 2 with a remainder of 50.
Record the quotient 2 as the next digit in the result. 
Result so far: 3623.42
If we take 150 away from 200, 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.

Let's proceed to step 9:
If we divide 500 by 75, we get 6 and a remainder of 50.
The next digit of our result is 6. 
Result so far: 3623.426
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.

Going ahead to step 10:
75 goes into 500 6 times with a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 3623.4266
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.

The quotient of the division is 3623.4266, and the remainder is 0.0005.