345689 divided by 25 
The aim is to understand the frequency of 25 in 345689.

On to step 1:
25 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 25

Going ahead to step 2:
When dividing 34 by 25, we get 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 25 from 34 and we're left with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 25

Going ahead to step 3:
If we divide 95 by 25, we get 3 and a remainder of 20.
The next digit of our result is 3. 
Result so far: 13.0
If we subtract 75 from 95, we get 20.
Take the next digit (6) from the dividend and append it to 20, then repeat: 206 / 25

Moving on to step 4:
The number 25 fits into 206 8 times, leaving a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 138.0
Subtract 200 from 206 to get 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 25

Step 5:
The number 25 fits into 68 2 times, leaving a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 1382.0
If we subtract 50 from 68, we get 18.
Include the next digit (9) from the dividend after 18, then repeat: 189 / 25

Step 6:
25 can be fit into 189 7 times, resulting in a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 13827.0
Subtracting 175 from 189 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 7:
140 divided by 25 is 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 13827.5
Subtracting 125 from 140 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
25 goes into 150 6 times with a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 13827.56
Subtracting 150 from 150 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:
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: 13827.56
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.

Let's proceed to step 10:
25 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 13827.56
If we subtract 0 from 0, 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.

In conclusion, the division gives 13827.56 with a balance of 0.0.