519563 ÷ 2 
Let's see how many times 2 fits into 519563.

Let's proceed to step 1:
5 divided by 2 is 2 with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we take 4 away from 5, we end up with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 2

Going ahead to step 2:
The number 2 fits into 11 5 times, leaving a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
Subtracting 10 from 11 leaves us with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 2

Step 3:
The number 2 fits into 19 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 259.0
The remainder is 1 after subtracting 18 from 19.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 2

Advancing to step 4:
15 divided by 2 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 2597.0
Deduct 14 from 15 and we're left with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 2

Step 5:
When dividing 16 by 2, we get 8 with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 25978.0
If we take 16 away from 16, we end up with 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 2

Moving on to step 6:
The number 2 fits into 3 1 times, leaving a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 259781.0
Deduct 2 from 3 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
2 can be fit into 10 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 259781.5
The remainder is 0 after subtracting 10 from 10.
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 8:
2 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 259781.5
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.

On to step 9:
The number 2 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 259781.5
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 result is 259781.5 with a remainder of 0.0.