We divide 506402 by 25
We want to figure out the number of times 506402 can be divided by 25.

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 (0) of the dividend behind the 5 and repeat the process: 50 / 25

Moving on to 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 subtract 50 from 50, we get 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 25

On to step 3:
25 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
If we subtract 0 from 6, we get 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 25

Advancing to step 4:
If we divide 64 by 25, we get 2 and a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 202.0
The remainder is 14 after subtracting 50 from 64.
Bring next digit (0) of the dividend behind the 14 and repeat the process: 140 / 25

Let's proceed to step 5:
The number 25 fits into 140 5 times, leaving a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 2025.0
Subtract 125 from 140 to get 15.
Bring next digit (2) of the dividend behind the 15 and repeat the process: 152 / 25

Advancing to step 6:
When dividing 152 by 25, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 20256.0
Subtracting 150 from 152 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
25 can be fit into 20 0 times, resulting in a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 20256.0
Subtracting 0 from 20 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:
200 divided by 25 is 8 with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 20256.08
The remainder is 0 after subtracting 200 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 20256.08
Subtract 0 from 0 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.

Advancing to step 10:
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: 20256.08
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 20256.08 with a remainder of 0.0.