We look at the division of 116578 by 25 
The aim is to understand the frequency of 25 in 116578.

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
Subtract 0 from 1 to get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 25

Going ahead to step 2:
If we divide 11 by 25, we get 0 and a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 25

On to step 3:
116 divided by 25 is 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 100 from 116 and we're left with 16.
Grab the next digit (5) from the dividend, add it to 16, then carry on: 165 / 25

On to step 4:
When dividing 165 by 25, we get 6 with a remainder of 15.
Use 6 as the next digit of our solution. 
Result so far: 46.0
If we take 150 away from 165, we end up with 15.
Append the next digit (7) from the dividend to 15 and continue with: 157 / 25

Step 5:
When dividing 157 by 25, we get 6 with a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 466.0
Deduct 150 from 157 and we're left with 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 25

Advancing to step 6:
When dividing 78 by 25, we get 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 4663.0
Subtract 75 from 78 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
30 divided by 25 is 1 with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 4663.1
Deduct 25 from 30 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
50 divided by 25 is 2 with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 4663.12
Subtracting 50 from 50 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.

Let's proceed to step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 4663.12
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.

On to step 10:
25 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 4663.12
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.

The final result is 4663.12 with a remainder of 0.0.