503512 ÷ 2 
We want to figure out the number of times 503512 can be divided by 2.

Advancing to step 1:
The number 2 fits into 5 2 times, leaving a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 1 after subtracting 4 from 5.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 2

Moving on to step 2:
If we divide 10 by 2, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
Subtracting 10 from 10 leaves us with 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 2

Advancing to step 3:
The number 2 fits into 3 1 times, leaving a remainder of 1.
The next digit of our result is 1. 
Result so far: 251.0
If we take 2 away from 3, we end up with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 2

Moving on to step 4:
2 goes into 15 7 times with a remainder of 1.
The next digit of our result is 7. 
Result so far: 2517.0
Subtract 14 from 15 to get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 2

Let's proceed to step 5:
When dividing 11 by 2, we get 5 with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 25175.0
If we subtract 10 from 11, we get 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 2

Step 6:
The number 2 fits into 12 6 times, leaving a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 251756.0
Subtract 12 from 12 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.

Going ahead to step 7:
2 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: 251756.0
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.

Let's proceed to step 8:
2 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 251756.0
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.

The final outcome is 251756.0, with a leftover of 0.0.