Let's divide 271814 by 75
We want to divide 271814 by 75.

Step 1:
The number 75 fits into 2 0 times, leaving 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.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 75

Let's proceed to step 2:
The number 75 fits into 27 0 times, leaving a remainder of 27.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 27 to get 27.
Grab the next digit (1) from the dividend, add it to 27, then carry on: 271 / 75

Going ahead to step 3:
When dividing 271 by 75, we get 3 with a remainder of 46.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 225 from 271, we get 46.
Append the next digit (8) from the dividend to 46 and continue with: 468 / 75

Moving on to step 4:
When dividing 468 by 75, we get 6 with a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
Deduct 450 from 468 and we're left with 18.
Bring next digit (1) of the dividend behind the 18 and repeat the process: 181 / 75

Let's proceed to step 5:
When dividing 181 by 75, we get 2 with a remainder of 31.
The next digit of our result is 2. 
Result so far: 362.0
If we subtract 150 from 181, we get 31.
Fetch the next digit (4) from the dividend, attach it to 31 and continue: 314 / 75

Let's proceed to step 6:
75 goes into 314 4 times with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 3624.0
Subtract 300 from 314 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 7:
When dividing 140 by 75, we get 1 with a remainder of 65.
Write down 1 as next digit of the result. 
Result so far: 3624.1
The remainder is 65 after subtracting 75 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 8:
The number 75 fits into 650 8 times, leaving a remainder of 50.
Use 8 as the next digit of our solution. 
Result so far: 3624.18
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.

Step 9:
The number 75 fits into 500 6 times, leaving a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 3624.186
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.

Going ahead to step 10:
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: 3624.1866
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.

In conclusion, the division gives 3624.1866 with a balance of 0.0005.