We're dividing 257136 by 25 
The aim is to understand the frequency of 25 in 257136.

Advancing to step 1:
2 divided by 25 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 25

Going ahead to step 2:
If we divide 25 by 25, we get 1 and a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 25 from 25 and we're left with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 25

Step 3:
25 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 10.0
If we take 0 away from 7, we end up with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 25

Let's proceed to step 4:
If we divide 71 by 25, we get 2 and a remainder of 21.
Record the quotient 2 as the next digit in the result. 
Result so far: 102.0
Subtracting 50 from 71 leaves us with 21.
Take the next digit (3) from the dividend and append it to 21, then repeat: 213 / 25

Advancing to step 5:
When dividing 213 by 25, we get 8 with a remainder of 13.
Write down 8 as next digit of the result. 
Result so far: 1028.0
The remainder is 13 after subtracting 200 from 213.
Fetch the next digit (6) from the dividend, attach it to 13 and continue: 136 / 25

Advancing to step 6:
If we divide 136 by 25, we get 5 and a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 10285.0
Deduct 125 from 136 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
110 divided by 25 is 4 with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 10285.4
Deduct 100 from 110 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
100 divided by 25 is 4 with a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 10285.44
If we subtract 100 from 100, 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.

Our division results in 10285.44 with a remaining 0.0.