We're dividing 514272 by 25 
We're looking to find how many times 25 goes into 514272.

Going ahead to step 1:
5 divided by 25 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 25

Step 2:
The number 25 fits into 51 2 times, leaving a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 50 away from 51, we end up with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 25

On to step 3:
25 goes into 14 0 times with a remainder of 14.
The next digit of our result is 0. 
Result so far: 20.0
Deduct 0 from 14 and we're left with 14.
Append the next digit (2) from the dividend to 14 and continue with: 142 / 25

Advancing to step 4:
25 can be fit into 142 5 times, resulting in a remainder of 17.
Use 5 as the next digit of our solution. 
Result so far: 205.0
Deduct 125 from 142 and we're left with 17.
Append the next digit (7) from the dividend to 17 and continue with: 177 / 25

Going ahead to step 5:
25 can be fit into 177 7 times, resulting in a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 2057.0
Deduct 175 from 177 and we're left with 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 25

Let's proceed to step 6:
25 goes into 22 0 times with a remainder of 22.
The next digit of our result is 0. 
Result so far: 20570.0
If we subtract 0 from 22, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
25 goes into 220 8 times with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 20570.8
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:
25 can be fit into 200 8 times, resulting in a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 20570.88
Deduct 200 from 200 and we're left 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.

Our division results in 20570.88 with a remaining 0.0.