We divide 603346 by 16
We're looking to find how many times 16 goes into 603346.

Advancing to step 1:
If we divide 6 by 16, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
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

Going ahead to step 2:
16 can be fit into 60 3 times, resulting in a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 48 away from 60, we end up with 12.
Append the next digit (3) from the dividend to 12 and continue with: 123 / 16

Let's proceed to step 3:
The number 16 fits into 123 7 times, leaving a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 37.0
Subtracting 112 from 123 leaves us with 11.
Fetch the next digit (3) from the dividend, attach it to 11 and continue: 113 / 16

Let's proceed to step 4:
When dividing 113 by 16, we get 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 377.0
Subtract 112 from 113 to get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 16

Step 5:
16 can be fit into 14 0 times, resulting in a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 3770.0
Subtracting 0 from 14 leaves us with 14.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 16

On to step 6:
The number 16 fits into 146 9 times, leaving a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 37709.0
Subtracting 144 from 146 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
If we divide 20 by 16, we get 1 and a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 37709.1
Subtracting 16 from 20 leaves us 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.

On to step 8:
The number 16 fits into 40 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 37709.12
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.

Advancing to step 9:
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: 37709.125
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 10:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 37709.125
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.

Advancing to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 37709.125
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.

In conclusion, the division gives 37709.125 with a balance of 0.0.