901689 ÷ 25 
The aim is to understand the frequency of 25 in 901689.

Advancing to step 1:
When dividing 9 by 25, we get 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Bring next digit (0) of the dividend behind the 9 and repeat the process: 90 / 25

Step 2:
25 can be fit into 90 3 times, resulting in a remainder of 15.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 75 from 90 and we're left with 15.
Take the next digit (1) from the dividend and append it to 15, then repeat: 151 / 25

Step 3:
If we divide 151 by 25, we get 6 and a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
Subtract 150 from 151 to get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 25

Step 4:
If we divide 16 by 25, we get 0 and a remainder of 16.
The next digit of our result is 0. 
Result so far: 360.0
Subtracting 0 from 16 leaves us with 16.
Take the next digit (8) from the dividend and append it to 16, then repeat: 168 / 25

Going ahead to step 5:
The number 25 fits into 168 6 times, leaving a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 3606.0
Subtracting 150 from 168 leaves us with 18.
Include the next digit (9) from the dividend after 18, then repeat: 189 / 25

Step 6:
The number 25 fits into 189 7 times, leaving a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 36067.0
The remainder is 14 after subtracting 175 from 189.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 7:
When dividing 140 by 25, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 36067.5
Deduct 125 from 140 and we're left 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.

Let's proceed to step 8:
25 can be fit into 150 6 times, resulting in a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 36067.56
If we subtract 150 from 150, 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.

Going ahead to step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 36067.56
The remainder is 0 after subtracting 0 from 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:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 36067.56
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.

Our division results in 36067.56 with a remaining 0.0.