We divide 558678 by 2
Let's see how many times 2 fits into 558678.

Moving on to step 1:
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: 2.0
If we subtract 4 from 5, we get 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 2

On to step 2:
15 divided by 2 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 27.0
If we subtract 14 from 15, we get 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 2

Advancing to step 3:
2 can be fit into 18 9 times, resulting in a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 279.0
If we subtract 18 from 18, we get 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 2

Advancing to step 4:
If we divide 6 by 2, we get 3 and a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 2793.0
If we take 6 away from 6, we end up with 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 2

Advancing to step 5:
If we divide 7 by 2, we get 3 and a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 27933.0
Deduct 6 from 7 and we're left with 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 2

Let's proceed to step 6:
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: 279339.0
Subtract 18 from 18 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.

Moving on to step 7:
2 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 279339.0
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.

Advancing to step 8:
If we divide 0 by 2, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 279339.0
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 quotient of the division is 279339.0, and the remainder is 0.0.