553099 divided by 16 
We want to figure out the number of times 553099 can be divided by 16.

Advancing to step 1:
If we divide 5 by 16, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 16

On to step 2:
16 can be fit into 55 3 times, resulting in a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 48 from 55, we get 7.
Include the next digit (3) from the dividend after 7, then repeat: 73 / 16

Step 3:
If we divide 73 by 16, we get 4 and a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
Subtract 64 from 73 to get 9.
Include the next digit (0) from the dividend after 9, then repeat: 90 / 16

Let's proceed to step 4:
90 divided by 16 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 345.0
If we subtract 80 from 90, we get 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 16

Advancing to step 5:
If we divide 109 by 16, we get 6 and a remainder of 13.
Use 6 as the next digit of our solution. 
Result so far: 3456.0
The remainder is 13 after subtracting 96 from 109.
Include the next digit (9) from the dividend after 13, then repeat: 139 / 16

Advancing to step 6:
When dividing 139 by 16, we get 8 with a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 34568.0
Subtract 128 from 139 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
16 goes into 110 6 times with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 34568.6
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 goes into 140 8 times with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 34568.68
Deduct 128 from 140 and we're left 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.

Let's proceed to step 9:
16 can be fit into 120 7 times, resulting in a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 34568.687
The remainder is 8 after subtracting 112 from 120.
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:
80 divided by 16 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 34568.6875
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.

Moving on to step 11:
0 divided by 16 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 34568.6875
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.

On to step 12:
If we divide 0 by 16, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 34568.6875
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.

Our division results in 34568.6875 with a remaining 0.0.