We look at the division of 274922 by 25 
We want to divide 274922 by 25.

Step 1:
The number 25 fits into 2 0 times, leaving a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 25

Advancing to step 2:
25 goes into 27 1 times with a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 25 from 27, we get 2.
Append the next digit (4) from the dividend to 2 and continue with: 24 / 25

Going ahead to step 3:
When dividing 24 by 25, we get 0 with a remainder of 24.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we subtract 0 from 24, we get 24.
Include the next digit (9) from the dividend after 24, then repeat: 249 / 25

On to step 4:
If we divide 249 by 25, we get 9 and a remainder of 24.
Write down 9 as next digit of the result. 
Result so far: 109.0
If we subtract 225 from 249, we get 24.
Grab the next digit (2) from the dividend, add it to 24, then carry on: 242 / 25

Advancing to step 5:
242 divided by 25 is 9 with a remainder of 17.
The number 9 becomes the next digit in our result. 
Result so far: 1099.0
Subtract 225 from 242 to get 17.
Append the next digit (2) from the dividend to 17 and continue with: 172 / 25

Let's proceed to step 6:
172 divided by 25 is 6 with a remainder of 22.
The next digit of our result is 6. 
Result so far: 10996.0
Subtracting 150 from 172 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 7:
220 divided by 25 is 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 10996.8
Subtracting 200 from 220 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
200 divided by 25 is 8 with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 10996.88
Subtracting 200 from 200 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.

The final result is 10996.88 with a remainder of 0.0.