We're dividing 518097 by 25 
We want to figure out the number of times 518097 can be divided by 25.

Let's proceed to step 1:
25 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 25

Going ahead to step 2:
25 goes into 51 2 times with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 50 from 51, we get 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 25

On to step 3:
The number 25 fits into 18 0 times, leaving a remainder of 18.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
If we take 0 away from 18, we end up with 18.
Fetch the next digit (0) from the dividend, attach it to 18 and continue: 180 / 25

Moving on to step 4:
The number 25 fits into 180 7 times, leaving a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 207.0
If we take 175 away from 180, we end up with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 25

Moving on to step 5:
25 can be fit into 59 2 times, resulting in a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 2072.0
If we take 50 away from 59, we end up with 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 25

Advancing to step 6:
The number 25 fits into 97 3 times, leaving a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 20723.0
Subtracting 75 from 97 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.

Step 7:
25 goes into 220 8 times with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 20723.8
The remainder is 20 after subtracting 200 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
When dividing 200 by 25, we get 8 with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 20723.88
Subtract 200 from 200 to get 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 20723.88 and a remainder of 0.0.