We're dividing 558123 by 9 
Let's see how many times 9 fits into 558123.

Going ahead to step 1:
9 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 9

Advancing to step 2:
When dividing 55 by 9, we get 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 54 from 55 leaves us with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 9

On to step 3:
If we divide 18 by 9, we get 2 and a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 62.0
If we subtract 18 from 18, we get 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 9

Moving on to step 4:
9 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 620.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 9

On to step 5:
The number 9 fits into 12 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 6201.0
The remainder is 3 after subtracting 9 from 12.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 9

Moving on to step 6:
The number 9 fits into 33 3 times, leaving a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 62013.0
If we subtract 27 from 33, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
The number 9 fits into 60 6 times, leaving a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 62013.6
If we subtract 54 from 60, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
9 can be fit into 60 6 times, resulting in a remainder of 6.
The next digit of our result is 6. 
Result so far: 62013.66
Deduct 54 from 60 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 62013.66 with a remainder of 0.006.