We're dividing 558668 by 8 
We want to divide 558668 by 8.

Let's proceed to step 1:
8 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 8

Step 2:
If we divide 55 by 8, we get 6 and a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 48 from 55, we get 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 8

Let's proceed to step 3:
When dividing 78 by 8, we get 9 with a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 69.0
If we subtract 72 from 78, we get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 8

Step 4:
When dividing 66 by 8, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 698.0
Subtract 64 from 66 to get 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 8

Going ahead to step 5:
If we divide 26 by 8, we get 3 and a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 6983.0
Subtracting 24 from 26 leaves us with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 8

On to step 6:
If we divide 28 by 8, we get 3 and a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 69833.0
The remainder is 4 after subtracting 24 from 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
8 can be fit into 40 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 69833.5
The remainder is 0 after subtracting 40 from 40.
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:
If we divide 0 by 8, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 69833.5
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.

Moving on to step 9:
0 divided by 8 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 69833.5
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.

The final outcome is 69833.5, with a leftover of 0.0.