We look at the division of 580523 by 2 
We want to figure out the number of times 580523 can be divided by 2.

Let's proceed to step 1:
2 can be fit into 5 2 times, resulting in a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 4 from 5 leaves us with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 2

Going ahead to step 2:
When dividing 18 by 2, we get 9 with a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 29.0
The remainder is 0 after subtracting 18 from 18.
Take the next digit (0) from the dividend and append it to 0, then repeat: 0 / 2

On to step 3:
When dividing 0 by 2, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 290.0
Subtract 0 from 0 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 2

Step 4:
5 divided by 2 is 2 with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 2902.0
Subtract 4 from 5 to get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 2

Moving on to step 5:
If we divide 12 by 2, we get 6 and a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 29026.0
Subtracting 12 from 12 leaves us with 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 2

Going ahead to step 6:
When dividing 3 by 2, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 290261.0
Subtract 2 from 3 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
10 divided by 2 is 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 290261.5
If we take 10 away from 10, 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.

On to step 8:
2 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 290261.5
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 9:
If we divide 0 by 2, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 290261.5
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.

Our division results in 290261.5 with a remaining 0.0.