We're dividing 509757 by 25 
We want to figure out the number of times 509757 can be divided by 25.

Let's proceed to step 1:
25 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 25

Step 2:
25 can be fit into 50 2 times, resulting in a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 50 away from 50, we end up with 0.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 25

Moving on to step 3:
The number 25 fits into 9 0 times, leaving a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 20.0
Subtracting 0 from 9 leaves us with 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 25

Moving on to step 4:
97 divided by 25 is 3 with a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 203.0
Subtracting 75 from 97 leaves us with 22.
Grab the next digit (5) from the dividend, add it to 22, then carry on: 225 / 25

Moving on to step 5:
When dividing 225 by 25, we get 9 with a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 2039.0
If we take 225 away from 225, we end up with 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 25

Step 6:
If we divide 7 by 25, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 20390.0
If we subtract 0 from 7, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
When dividing 70 by 25, we get 2 with a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 20390.2
Subtract 50 from 70 to get 20.
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:
The number 25 fits into 200 8 times, leaving a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 20390.28
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.

Step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 20390.28
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:
The number 25 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 20390.28
Deduct 0 from 0 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.

The final result is 20390.28 with a remainder of 0.0.