We look at the division of 558308 by 3 
Our goal is to divide 558308 by 3.

Advancing to step 1:
The number 3 fits into 5 1 times, leaving a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 3 from 5 and we're left with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 3

Advancing to step 2:
If we divide 25 by 3, we get 8 and a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 18.0
Subtracting 24 from 25 leaves us with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 3

Advancing to step 3:
The number 3 fits into 18 6 times, leaving a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 186.0
Deduct 18 from 18 and we're left with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 3

Let's proceed to step 4:
The number 3 fits into 3 1 times, leaving a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1861.0
If we subtract 3 from 3, we get 0.
Fetch the next digit (0) from the dividend, attach it to 0 and continue: 0 / 3

Step 5:
When dividing 0 by 3, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 18610.0
Deduct 0 from 0 and we're left with 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 3

On to step 6:
When dividing 8 by 3, we get 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 186102.0
Subtract 6 from 8 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
When dividing 20 by 3, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 186102.6
The remainder is 2 after subtracting 18 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
3 can be fit into 20 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 186102.66
If we take 18 away from 20, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 186102.66, and the remainder is 0.002.