We look at the division of 596553 by 16 
Let's see how many times 16 fits into 596553.

Advancing to step 1:
The number 16 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 16

Moving on to step 2:
The number 16 fits into 59 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 48 from 59, we get 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 16

Moving on to step 3:
16 can be fit into 116 7 times, resulting in a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 37.0
Subtract 112 from 116 to get 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 16

Let's proceed to step 4:
16 goes into 45 2 times with a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 372.0
Deduct 32 from 45 and we're left with 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 16

Let's proceed to step 5:
When dividing 135 by 16, we get 8 with a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 3728.0
The remainder is 7 after subtracting 128 from 135.
Take the next digit (3) from the dividend and append it to 7, then repeat: 73 / 16

Let's proceed to step 6:
When dividing 73 by 16, we get 4 with a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 37284.0
If we take 64 away from 73, we end up 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.

On to step 7:
When dividing 90 by 16, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 37284.5
Subtracting 80 from 90 leaves us 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.

Step 8:
16 goes into 100 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 37284.56
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 9:
If we divide 40 by 16, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 37284.562
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:
16 goes into 80 5 times with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 37284.5625
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.

Let's proceed to step 11:
0 divided by 16 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 37284.5625
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 12:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 37284.5625
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.

Our division results in 37284.5625 with a remaining 0.0.