Let's divide 825601 by 16
The aim is to understand the frequency of 16 in 825601.

Step 1:
16 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 16

Step 2:
If we divide 82 by 16, we get 5 and a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 80 away from 82, we end up with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 16

Step 3:
16 can be fit into 25 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 51.0
If we subtract 16 from 25, we get 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 16

Let's proceed to step 4:
When dividing 96 by 16, we get 6 with a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 516.0
If we take 96 away from 96, we end up with 0.
Append the next digit (0) from the dividend to 0 and continue with: 0 / 16

Going ahead to step 5:
0 divided by 16 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 5160.0
Subtract 0 from 0 to get 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 16

On to step 6:
When dividing 1 by 16, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 51600.0
The remainder is 1 after subtracting 0 from 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
If we divide 10 by 16, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 51600.0
If we subtract 0 from 10, 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:
100 divided by 16 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 51600.06
If we take 96 away from 100, we end up 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.

Let's proceed to step 9:
If we divide 40 by 16, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 51600.062
If we take 32 away from 40, we end up 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.

Going ahead to step 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
The next digit of our result is 5. 
Result so far: 51600.0625
The remainder is 0 after subtracting 80 from 80.
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 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 51600.0625
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.

Moving on to step 12:
If we divide 0 by 16, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 51600.0625
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.

The final outcome is 51600.0625, with a leftover of 0.0.