We're dividing 406576 by 30 
We're looking to find how many times 30 goes into 406576.

Going ahead to step 1:
4 divided by 30 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 30

On to step 2:
40 divided by 30 is 1 with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 10 after subtracting 30 from 40.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 30

Step 3:
30 goes into 106 3 times with a remainder of 16.
The next digit of our result is 3. 
Result so far: 13.0
Subtracting 90 from 106 leaves us with 16.
Fetch the next digit (5) from the dividend, attach it to 16 and continue: 165 / 30

On to step 4:
The number 30 fits into 165 5 times, leaving a remainder of 15.
The next digit of our result is 5. 
Result so far: 135.0
Subtracting 150 from 165 leaves us with 15.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 30

Going ahead to step 5:
157 divided by 30 is 5 with a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 1355.0
Deduct 150 from 157 and we're left with 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 30

Advancing to step 6:
If we divide 76 by 30, we get 2 and a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 13552.0
Subtracting 60 from 76 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 7:
The number 30 fits into 160 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 13552.5
The remainder is 10 after subtracting 150 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
If we divide 100 by 30, we get 3 and a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 13552.53
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
If we divide 100 by 30, we get 3 and a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 13552.533
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 13552.533 with a remainder of 0.001.