We're dividing 271878 by 27 
We want to divide 271878 by 27.

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

On to step 2:
When dividing 27 by 27, we get 1 with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 0 after subtracting 27 from 27.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 27

On to step 3:
1 divided by 27 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 27

Step 4:
When dividing 18 by 27, we get 0 with a remainder of 18.
Write down 0 as next digit of the result. 
Result so far: 100.0
Subtract 0 from 18 to get 18.
Append the next digit (7) from the dividend to 18 and continue with: 187 / 27

Moving on to step 5:
27 can be fit into 187 6 times, resulting in a remainder of 25.
The next digit of our result is 6. 
Result so far: 1006.0
If we subtract 162 from 187, we get 25.
Grab the next digit (8) from the dividend, add it to 25, then carry on: 258 / 27

Step 6:
The number 27 fits into 258 9 times, leaving a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 10069.0
Subtracting 243 from 258 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
The number 27 fits into 150 5 times, leaving a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 10069.5
If we subtract 135 from 150, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
When dividing 150 by 27, we get 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 10069.55
If we take 135 away from 150, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final result is 10069.55 with a remainder of 0.015.