506500 divided by 25 
The aim is to understand the frequency of 25 in 506500.

On to step 1:
5 divided by 25 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 25

Step 2:
25 goes into 50 2 times with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 50 from 50 to get 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 25

Moving on to step 3:
25 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
Subtract 0 from 6 to get 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 25

Going ahead to step 4:
The number 25 fits into 65 2 times, leaving a remainder of 15.
Use 2 as the next digit of our solution. 
Result so far: 202.0
Subtract 50 from 65 to get 15.
Take the next digit (0) from the dividend and append it to 15, then repeat: 150 / 25

Going ahead to step 5:
25 goes into 150 6 times with a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 2026.0
The remainder is 0 after subtracting 150 from 150.
Fetch the next digit (0) from the dividend, attach it to 0 and continue: 0 / 25

Advancing to step 6:
If we divide 0 by 25, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 20260.0
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.

Step 7:
The number 25 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 20260.0
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.

Let's proceed to step 8:
0 divided by 25 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 20260.0
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.

After the division, we end up with 20260.0 and a remainder of 0.0.