691686 ÷ 25 
The aim is to understand the frequency of 25 in 691686.

Let's proceed to step 1:
If we divide 6 by 25, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 25

Moving on to step 2:
When dividing 69 by 25, we get 2 with a remainder of 19.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 50 from 69 leaves us with 19.
Append the next digit (1) from the dividend to 19 and continue with: 191 / 25

Moving on to step 3:
25 can be fit into 191 7 times, resulting in a remainder of 16.
The next digit of our result is 7. 
Result so far: 27.0
Subtracting 175 from 191 leaves us with 16.
Bring next digit (6) of the dividend behind the 16 and repeat the process: 166 / 25

Going ahead to step 4:
The number 25 fits into 166 6 times, leaving a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 276.0
Subtracting 150 from 166 leaves us with 16.
Fetch the next digit (8) from the dividend, attach it to 16 and continue: 168 / 25

Advancing to step 5:
25 goes into 168 6 times with a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 2766.0
If we subtract 150 from 168, we get 18.
Fetch the next digit (6) from the dividend, attach it to 18 and continue: 186 / 25

Let's proceed to step 6:
When dividing 186 by 25, we get 7 with a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 27667.0
Subtracting 175 from 186 leaves us 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:
25 goes into 110 4 times with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 27667.4
If we subtract 100 from 110, we 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.

Step 8:
25 can be fit into 100 4 times, resulting in a remainder of 0.
The next digit of our result is 4. 
Result so far: 27667.44
Deduct 100 from 100 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 27667.44 with a remainder of 0.0.