We look at the division of 339568 by 6 
Let's see how many times 6 fits into 339568.

Moving on to step 1:
If we divide 3 by 6, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 6

Advancing to step 2:
When dividing 33 by 6, we get 5 with a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 30 from 33, we get 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 6

On to step 3:
39 divided by 6 is 6 with a remainder of 3.
The next digit of our result is 6. 
Result so far: 56.0
If we take 36 away from 39, we end up with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 6

Advancing to step 4:
When dividing 35 by 6, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 565.0
Subtract 30 from 35 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 6

Advancing to step 5:
If we divide 56 by 6, we get 9 and a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 5659.0
Deduct 54 from 56 and we're left with 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 6

Moving on to step 6:
When dividing 28 by 6, we get 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 56594.0
Subtracting 24 from 28 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
6 can be fit into 40 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 56594.6
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
The number 6 fits into 40 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 56594.66
Subtracting 36 from 40 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 56594.66 with a remainder of 0.004.