We're dividing 576382 by 6 
Our goal is to divide 576382 by 6.

Let's proceed to step 1:
6 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 6

Going ahead to step 2:
6 goes into 57 9 times with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Subtract 54 from 57 to get 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 6

On to step 3:
When dividing 36 by 6, we get 6 with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 96.0
Deduct 36 from 36 and we're left with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 6

Advancing to step 4:
When dividing 3 by 6, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 960.0
If we subtract 0 from 3, we get 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 6

Let's proceed to step 5:
6 goes into 38 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 9606.0
Subtracting 36 from 38 leaves us with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 6

Step 6:
When dividing 22 by 6, we get 3 with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 96063.0
The remainder is 4 after subtracting 18 from 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
6 goes into 40 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 96063.6
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
6 can be fit into 40 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 96063.66
If we take 36 away from 40, we end up 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.

In conclusion, the division gives 96063.66 with a balance of 0.004.