We divide 508066 by 25
We're looking to find how many times 25 goes into 508066.

Going ahead 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
Subtract 0 from 5 to get 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 25

Step 2:
When dividing 50 by 25, we get 2 with a remainder of 0.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 50 from 50 and we're left with 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 25

Advancing to step 3:
If we divide 8 by 25, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 20.0
Subtract 0 from 8 to get 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 25

Moving on to step 4:
25 can be fit into 80 3 times, resulting in a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 203.0
Subtracting 75 from 80 leaves us with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 25

On to step 5:
When dividing 56 by 25, we get 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 2032.0
Deduct 50 from 56 and we're left with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 25

Let's proceed to step 6:
66 divided by 25 is 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 20322.0
If we subtract 50 from 66, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 7:
The number 25 fits into 160 6 times, leaving a remainder of 10.
The next digit of our result is 6. 
Result so far: 20322.6
Deduct 150 from 160 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
100 divided by 25 is 4 with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 20322.64
Deduct 100 from 100 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:
0 divided by 25 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 20322.64
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.

Moving on to step 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 20322.64
Subtracting 0 from 0 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 20322.64 with a remainder of 0.0.