509874 ÷ 25 
Let's see how many times 25 fits into 509874.

Moving on 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
If we subtract 0 from 5, we get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 25

Step 2:
50 divided by 25 is 2 with a remainder of 0.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 50 from 50 to get 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 25

On to step 3:
9 divided by 25 is 0 with 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.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 25

Let's proceed to step 4:
If we divide 98 by 25, we get 3 and a remainder of 23.
The number 3 becomes the next digit in our result. 
Result so far: 203.0
If we take 75 away from 98, we end up with 23.
Append the next digit (7) from the dividend to 23 and continue with: 237 / 25

Moving on to step 5:
237 divided by 25 is 9 with a remainder of 12.
The next digit of our result is 9. 
Result so far: 2039.0
Subtracting 225 from 237 leaves us with 12.
Grab the next digit (4) from the dividend, add it to 12, then carry on: 124 / 25

Step 6:
When dividing 124 by 25, we get 4 with a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 20394.0
The remainder is 24 after subtracting 100 from 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
240 divided by 25 is 9 with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 20394.9
Subtracting 225 from 240 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
The number 25 fits into 150 6 times, leaving a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 20394.96
If we subtract 150 from 150, we 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.

On to step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 20394.96
If we subtract 0 from 0, we 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.

Moving on to step 10:
0 divided by 25 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 20394.96
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.

The final result is 20394.96 with a remainder of 0.0.