577868 divided by 30 
We want to figure out the number of times 577868 can be divided by 30.

On to step 1:
5 divided by 30 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 30

Advancing to step 2:
The number 30 fits into 57 1 times, leaving a remainder of 27.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 30 from 57 to get 27.
Bring next digit (7) of the dividend behind the 27 and repeat the process: 277 / 30

Step 3:
The number 30 fits into 277 9 times, leaving a remainder of 7.
The next digit of our result is 9. 
Result so far: 19.0
If we subtract 270 from 277, we get 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 30

Going ahead to step 4:
When dividing 78 by 30, we get 2 with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 192.0
The remainder is 18 after subtracting 60 from 78.
Grab the next digit (6) from the dividend, add it to 18, then carry on: 186 / 30

Moving on to step 5:
When dividing 186 by 30, we get 6 with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 1926.0
If we subtract 180 from 186, we get 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 30

Step 6:
68 divided by 30 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 19262.0
If we subtract 60 from 68, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
The number 30 fits into 80 2 times, leaving a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 19262.2
Deduct 60 from 80 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
30 can be fit into 200 6 times, resulting in a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 19262.26
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
The number 30 fits into 200 6 times, leaving a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 19262.266
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 19262.266 with a balance of 0.002.