We look at the division of 558403 by 9 
We're looking to find how many times 9 goes into 558403.

Moving on to step 1:
When dividing 5 by 9, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 9

Let's proceed to step 2:
55 divided by 9 is 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 1 after subtracting 54 from 55.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 9

Moving on to step 3:
When dividing 18 by 9, we get 2 with a remainder of 0.
The next digit of our result is 2. 
Result so far: 62.0
If we take 18 away from 18, we end up with 0.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 9

Moving on to step 4:
If we divide 4 by 9, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 620.0
If we subtract 0 from 4, we get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 9

Step 5:
9 goes into 40 4 times with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 6204.0
Subtracting 36 from 40 leaves us with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 9

Going ahead to step 6:
If we divide 43 by 9, we get 4 and a remainder of 7.
Put 4 as the next digit of the answer. 
Result so far: 62044.0
Subtract 36 from 43 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
If we divide 70 by 9, we get 7 and a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 62044.7
The remainder is 7 after subtracting 63 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 8:
9 goes into 70 7 times with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 62044.77
The remainder is 7 after subtracting 63 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final outcome is 62044.77, with a leftover of 0.007.