We're dividing 146616 by 25 
The aim is to understand the frequency of 25 in 146616.

On to step 1:
1 divided by 25 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 25

Going ahead to step 2:
When dividing 14 by 25, we get 0 with a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 14 and we're left with 14.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 25

Let's proceed to step 3:
The number 25 fits into 146 5 times, leaving a remainder of 21.
The next digit of our result is 5. 
Result so far: 5.0
If we take 125 away from 146, we end up with 21.
Take the next digit (6) from the dividend and append it to 21, then repeat: 216 / 25

Advancing to step 4:
216 divided by 25 is 8 with a remainder of 16.
The next digit of our result is 8. 
Result so far: 58.0
If we subtract 200 from 216, we get 16.
Append the next digit (1) from the dividend to 16 and continue with: 161 / 25

Moving on to step 5:
161 divided by 25 is 6 with a remainder of 11.
Put 6 as the next digit of the answer. 
Result so far: 586.0
Subtracting 150 from 161 leaves us with 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 25

Step 6:
25 goes into 116 4 times with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 5864.0
Subtracting 100 from 116 leaves us 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.

Going ahead 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: 5864.6
The remainder is 10 after subtracting 150 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
The number 25 fits into 100 4 times, leaving a remainder of 0.
The next digit of our result is 4. 
Result so far: 5864.64
The remainder is 0 after subtracting 100 from 100.
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.
Write down 0 as next digit of the result. 
Result so far: 5864.64
Deduct 0 from 0 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 10:
0 divided by 25 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 5864.64
Deduct 0 from 0 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.

In conclusion, the division gives 5864.64 with a balance of 0.0.