We look at the division of 578441 by 18 
Let's see how many times 18 fits into 578441.

Advancing to step 1:
When dividing 5 by 18, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 18

Moving on to step 2:
18 goes into 57 3 times with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 54 from 57 leaves us with 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 18

Let's proceed to step 3:
38 divided by 18 is 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 32.0
Deduct 36 from 38 and we're left with 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 18

Moving on to step 4:
24 divided by 18 is 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 321.0
If we take 18 away from 24, we end up with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 18

Moving on to step 5:
If we divide 64 by 18, we get 3 and a remainder of 10.
The next digit of our result is 3. 
Result so far: 3213.0
Subtracting 54 from 64 leaves us with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 18

Let's proceed to step 6:
18 can be fit into 101 5 times, resulting in a remainder of 11.
Use 5 as the next digit of our solution. 
Result so far: 32135.0
If we take 90 away from 101, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
18 goes into 110 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 32135.6
If we subtract 108 from 110, we 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.

Let's proceed to step 8:
18 can be fit into 20 1 times, resulting in a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 32135.61
Subtracting 18 from 20 leaves us 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.

Going ahead to step 9:
When dividing 20 by 18, we get 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 32135.611
If we subtract 18 from 20, we 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.

The final result is 32135.611 with a remainder of 0.0002.