We're dividing 588396 by 16 
We're looking to find how many times 16 goes into 588396.

On to step 1:
16 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 16

Going ahead to step 2:
16 can be fit into 58 3 times, resulting in a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 48 from 58 to get 10.
Fetch the next digit (8) from the dividend, attach it to 10 and continue: 108 / 16

Step 3:
16 goes into 108 6 times with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
The remainder is 12 after subtracting 96 from 108.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 16

Moving on to step 4:
The number 16 fits into 123 7 times, leaving a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 367.0
Subtracting 112 from 123 leaves us with 11.
Take the next digit (9) from the dividend and append it to 11, then repeat: 119 / 16

Let's proceed to step 5:
16 can be fit into 119 7 times, resulting in a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 3677.0
Subtract 112 from 119 to get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 16

Moving on to step 6:
The number 16 fits into 76 4 times, leaving a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 36774.0
Subtract 64 from 76 to get 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 7:
The number 16 fits into 120 7 times, leaving a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 36774.7
If we subtract 112 from 120, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
80 divided by 16 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 36774.75
If we take 80 away from 80, we end up 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.

Step 9:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 36774.75
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.

Advancing to step 10:
16 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 36774.75
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.

In conclusion, the division gives 36774.75 with a balance of 0.0.