We look at the division of 4565225 by 16 
The aim is to understand the frequency of 16 in 4565225.

Advancing to step 1:
When dividing 4 by 16, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 16

Going ahead to step 2:
16 goes into 45 2 times with a remainder of 13.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 32 from 45 leaves us with 13.
Take the next digit (6) from the dividend and append it to 13, then repeat: 136 / 16

Advancing to step 3:
If we divide 136 by 16, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 28.0
Subtract 128 from 136 to get 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 16

Step 4:
16 goes into 85 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 285.0
Subtracting 80 from 85 leaves us with 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 16

Let's proceed to step 5:
If we divide 52 by 16, we get 3 and a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 2853.0
If we subtract 48 from 52, we get 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 16

Advancing to step 6:
When dividing 42 by 16, we get 2 with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 28532.0
Subtract 32 from 42 to get 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 16

Going ahead to step 7:
105 divided by 16 is 6 with a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 285326.0
Subtracting 96 from 105 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 8:
The number 16 fits into 90 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 285326.5
Subtract 80 from 90 to 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.

Going ahead to step 9:
100 divided by 16 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 285326.56
Subtracting 96 from 100 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
40 divided by 16 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 285326.562
Deduct 32 from 40 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 11:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 285326.5625
Subtract 80 from 80 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.

Step 12:
16 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 285326.5625
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.

On to step 13:
0 divided by 16 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 285326.5625
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.

The final outcome is 285326.5625, with a leftover of 0.0.