We look at the division of 502603 by 16 
We want to divide 502603 by 16.

On to step 1:
When dividing 5 by 16, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 16

Moving on to step 2:
50 divided by 16 is 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 48 from 50 leaves us with 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 16

Moving on to step 3:
22 divided by 16 is 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
The remainder is 6 after subtracting 16 from 22.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 16

Moving on to step 4:
16 goes into 66 4 times with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 314.0
Subtract 64 from 66 to get 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 16

On to step 5:
20 divided by 16 is 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 3141.0
If we take 16 away from 20, we end up with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 16

Moving on to step 6:
43 divided by 16 is 2 with a remainder of 11.
The next digit of our result is 2. 
Result so far: 31412.0
If we take 32 away from 43, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
16 goes into 110 6 times with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 31412.6
Deduct 96 from 110 and we're left 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.

Let's proceed to step 8:
140 divided by 16 is 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 31412.68
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.

Going ahead to step 9:
120 divided by 16 is 7 with a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 31412.687
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.

On to step 10:
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: 31412.6875
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.

Advancing to step 11:
16 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 31412.6875
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 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 31412.6875
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 quotient of the division is 31412.6875, and the remainder is 0.0.