416605 ÷ 25 
The aim is to understand the frequency of 25 in 416605.

Step 1:
4 divided by 25 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 25

Going ahead to step 2:
The number 25 fits into 41 1 times, leaving a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 25 away from 41, we end up with 16.
Grab the next digit (6) from the dividend, add it to 16, then carry on: 166 / 25

Going ahead to step 3:
25 goes into 166 6 times with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we subtract 150 from 166, we get 16.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 25

Let's proceed to step 4:
The number 25 fits into 166 6 times, leaving a remainder of 16.
The next digit of our result is 6. 
Result so far: 166.0
Subtract 150 from 166 to get 16.
Take the next digit (0) from the dividend and append it to 16, then repeat: 160 / 25

Moving on to step 5:
The number 25 fits into 160 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 1666.0
Deduct 150 from 160 and we're left with 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 25

Let's proceed to step 6:
105 divided by 25 is 4 with a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 16664.0
Deduct 100 from 105 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
The number 25 fits into 50 2 times, leaving a remainder of 0.
The next digit of our result is 2. 
Result so far: 16664.2
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.

Let's proceed to step 8:
25 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 16664.2
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.

Advancing to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 16664.2
Deduct 0 from 0 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.

After the division, we end up with 16664.2 and a remainder of 0.0.