We look at the division of 600580 by 16 
Let's see how many times 16 fits into 600580.

Going ahead to step 1:
The number 16 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 16

Moving on to step 2:
The number 16 fits into 60 3 times, leaving a remainder of 12.
The next digit of our result is 3. 
Result so far: 3.0
If we take 48 away from 60, we end up with 12.
Take the next digit (0) from the dividend and append it to 12, then repeat: 120 / 16

Going ahead to step 3:
If we divide 120 by 16, we get 7 and a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 37.0
Subtracting 112 from 120 leaves us with 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 16

Let's proceed to step 4:
The number 16 fits into 85 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 375.0
If we take 80 away from 85, we end up with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 16

Going ahead to step 5:
16 can be fit into 58 3 times, resulting in a remainder of 10.
The next digit of our result is 3. 
Result so far: 3753.0
If we take 48 away from 58, we end up with 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 16

Let's proceed to step 6:
16 goes into 100 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 37536.0
The remainder is 4 after subtracting 96 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
16 goes into 40 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 37536.2
Subtracting 32 from 40 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 8:
When dividing 80 by 16, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 37536.25
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.

Going ahead to step 9:
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: 37536.25
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.

Step 10:
When dividing 0 by 16, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 37536.25
If we take 0 away from 0, 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.

The final result is 37536.25 with a remainder of 0.0.