We look at the division of 271089 by 25 
We want to divide 271089 by 25.

Moving on to step 1:
25 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 25

Advancing to step 2:
27 divided by 25 is 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 25 from 27 leaves us with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 25

Advancing to step 3:
25 can be fit into 21 0 times, resulting in a remainder of 21.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Deduct 0 from 21 and we're left with 21.
Include the next digit (0) from the dividend after 21, then repeat: 210 / 25

Moving on to step 4:
The number 25 fits into 210 8 times, leaving a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 108.0
Subtract 200 from 210 to get 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 25

Going ahead to step 5:
25 can be fit into 108 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 1084.0
Deduct 100 from 108 and we're left with 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 25

Let's proceed to step 6:
The number 25 fits into 89 3 times, leaving a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 10843.0
The remainder is 14 after subtracting 75 from 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 7:
When dividing 140 by 25, we get 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 10843.5
If we subtract 125 from 140, 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.

Advancing to step 8:
25 can be fit into 150 6 times, resulting in a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 10843.56
If we take 150 away from 150, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 10843.56
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
25 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 10843.56
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 10843.56 and a remainder of 0.0.