564314 divided by 16 
The aim is to understand the frequency of 16 in 564314.

Step 1:
16 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 16

Step 2:
When dividing 56 by 16, we get 3 with a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 48 from 56 leaves us with 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 16

Moving on to step 3:
84 divided by 16 is 5 with a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 35.0
The remainder is 4 after subtracting 80 from 84.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 16

On to step 4:
16 goes into 43 2 times with a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 352.0
Deduct 32 from 43 and we're left with 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 16

Advancing to step 5:
If we divide 111 by 16, we get 6 and a remainder of 15.
The next digit of our result is 6. 
Result so far: 3526.0
If we subtract 96 from 111, we get 15.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 16

Moving on to step 6:
16 can be fit into 154 9 times, resulting in a remainder of 10.
Record the quotient 9 as the next digit in the result. 
Result so far: 35269.0
If we take 144 away from 154, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
16 can be fit into 100 6 times, resulting in a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 35269.6
Deduct 96 from 100 and we're left 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 8:
40 divided by 16 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 35269.62
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 9:
The number 16 fits into 80 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 35269.625
Subtracting 80 from 80 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.

Moving on to step 10:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 35269.625
Subtracting 0 from 0 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.

Advancing to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 35269.625
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 quotient of the division is 35269.625, and the remainder is 0.0.