We're dividing 553563 by 16 
The aim is to understand the frequency of 16 in 553563.

Going ahead to step 1:
16 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 16

Step 2:
If we divide 55 by 16, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 48 from 55 leaves us with 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 16

Advancing to step 3:
73 divided by 16 is 4 with a remainder of 9.
Use 4 as the next digit of our solution. 
Result so far: 34.0
Subtracting 64 from 73 leaves us with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 16

Step 4:
16 can be fit into 95 5 times, resulting in a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 345.0
Subtract 80 from 95 to get 15.
Bring next digit (6) of the dividend behind the 15 and repeat the process: 156 / 16

Advancing to step 5:
If we divide 156 by 16, we get 9 and a remainder of 12.
Record the quotient 9 as the next digit in the result. 
Result so far: 3459.0
Subtract 144 from 156 to get 12.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 16

Let's proceed to step 6:
If we divide 123 by 16, we get 7 and a remainder of 11.
The next digit of our result is 7. 
Result so far: 34597.0
Deduct 112 from 123 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
If we divide 110 by 16, we get 6 and a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 34597.6
If we take 96 away from 110, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
16 can be fit into 140 8 times, resulting in a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 34597.68
Subtracting 128 from 140 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
16 goes into 120 7 times with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 34597.687
Subtracting 112 from 120 leaves us 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.

Advancing to step 10:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 34597.6875
If we subtract 80 from 80, 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.

Step 11:
0 divided by 16 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 34597.6875
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:
16 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 34597.6875
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.

After the division, we end up with 34597.6875 and a remainder of 0.0.