We're dividing 388778 by 25 
The aim is to understand the frequency of 25 in 388778.

On to step 1:
The number 25 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 25

Step 2:
38 divided by 25 is 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 25 from 38 and we're left with 13.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 25

Advancing to step 3:
25 can be fit into 138 5 times, resulting in a remainder of 13.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtract 125 from 138 to get 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 25

Let's proceed to step 4:
137 divided by 25 is 5 with a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 155.0
If we subtract 125 from 137, we get 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 25

Step 5:
127 divided by 25 is 5 with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 1555.0
Subtracting 125 from 127 leaves us with 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 25

Moving on to step 6:
If we divide 28 by 25, we get 1 and a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 15551.0
The remainder is 3 after subtracting 25 from 28.
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: 15551.1
The remainder is 5 after subtracting 25 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
When dividing 50 by 25, we get 2 with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 15551.12
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.

Moving on to step 9:
0 divided by 25 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 15551.12
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:
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: 15551.12
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 15551.12 and a remainder of 0.0.