We look at the division of 579268 by 3 
Let's see how many times 3 fits into 579268.

Advancing to step 1:
When dividing 5 by 3, we get 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 2 after subtracting 3 from 5.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 3

Let's proceed to step 2:
3 can be fit into 27 9 times, resulting in a remainder of 0.
The next digit of our result is 9. 
Result so far: 19.0
Deduct 27 from 27 and we're left with 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 3

Moving on to step 3:
3 can be fit into 9 3 times, resulting in a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 193.0
Subtracting 9 from 9 leaves us with 0.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 3

Moving on to step 4:
If we divide 2 by 3, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 1930.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 3

Going ahead to step 5:
The number 3 fits into 26 8 times, leaving a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 19308.0
If we take 24 away from 26, we end up with 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 3

Advancing to step 6:
If we divide 28 by 3, we get 9 and a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 193089.0
Subtracting 27 from 28 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
If we divide 10 by 3, we get 3 and a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 193089.3
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 8:
3 can be fit into 10 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 193089.33
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final result is 193089.33 with a remainder of 0.001.