We look at the division of 409819 by 9 
Our goal is to divide 409819 by 9.

Let's proceed to step 1:
If we divide 4 by 9, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 9

Let's proceed to step 2:
If we divide 40 by 9, we get 4 and a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 36 from 40 leaves us with 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 9

Going ahead to step 3:
If we divide 49 by 9, we get 5 and a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 45.0
Subtracting 45 from 49 leaves us with 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 9

Going ahead to step 4:
9 goes into 48 5 times with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 455.0
If we subtract 45 from 48, we get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 9

Step 5:
9 goes into 31 3 times with a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 4553.0
The remainder is 4 after subtracting 27 from 31.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 9

Step 6:
9 can be fit into 49 5 times, resulting in a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 45535.0
If we subtract 45 from 49, 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 7:
9 can be fit into 40 4 times, resulting in a remainder of 4.
The next digit of our result is 4. 
Result so far: 45535.4
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.

Let's proceed to step 8:
If we divide 40 by 9, we get 4 and a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 45535.44
Deduct 36 from 40 and we're left 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 outcome is 45535.44, with a leftover of 0.004.