We're dividing 225666 by 25 
The aim is to understand the frequency of 25 in 225666.

Step 1:
When dividing 2 by 25, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 25

Let's proceed to step 2:
25 goes into 22 0 times with a remainder of 22.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 22, we get 22.
Append the next digit (5) from the dividend to 22 and continue with: 225 / 25

On to step 3:
25 goes into 225 9 times with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 9.0
The remainder is 0 after subtracting 225 from 225.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 25

Going ahead to step 4:
25 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 90.0
Subtract 0 from 6 to get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 25

Going ahead to step 5:
25 can be fit into 66 2 times, resulting in a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 902.0
The remainder is 16 after subtracting 50 from 66.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 25

Going ahead to step 6:
166 divided by 25 is 6 with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 9026.0
If we take 150 away from 166, we end up with 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:
25 goes into 160 6 times with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 9026.6
Subtract 150 from 160 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
25 can be fit into 100 4 times, resulting in a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 9026.64
Subtracting 100 from 100 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.

Moving on to step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 9026.64
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.

Let's proceed to step 10:
0 divided by 25 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 9026.64
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.

The final result is 9026.64 with a remainder of 0.0.