We look at the division of 586576 by 2 
Let's see how many times 2 fits into 586576.

Moving on to step 1:
2 goes into 5 2 times with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 1 after subtracting 4 from 5.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 2

Let's proceed to step 2:
2 can be fit into 18 9 times, resulting in a remainder of 0.
The next digit of our result is 9. 
Result so far: 29.0
If we subtract 18 from 18, we get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 2

Moving on to step 3:
When dividing 6 by 2, we get 3 with a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 293.0
The remainder is 0 after subtracting 6 from 6.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 2

Moving on to step 4:
If we divide 5 by 2, we get 2 and a remainder of 1.
The next digit of our result is 2. 
Result so far: 2932.0
If we subtract 4 from 5, we get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 2

Let's proceed to step 5:
2 can be fit into 17 8 times, resulting in a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 29328.0
If we subtract 16 from 17, we get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 2

On to step 6:
If we divide 16 by 2, we get 8 and a remainder of 0.
The next digit of our result is 8. 
Result so far: 293288.0
If we take 16 away from 16, 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 7:
If we divide 0 by 2, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 293288.0
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.

Going ahead 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: 293288.0
Subtracting 0 from 0 leaves us 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 293288.0, with a leftover of 0.0.