We're dividing 415336 by 30 
We're looking to find how many times 30 goes into 415336.

Step 1:
30 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 30

Moving on to step 2:
41 divided by 30 is 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 30 from 41 to get 11.
Grab the next digit (5) from the dividend, add it to 11, then carry on: 115 / 30

On to step 3:
115 divided by 30 is 3 with a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 13.0
The remainder is 25 after subtracting 90 from 115.
Bring next digit (3) of the dividend behind the 25 and repeat the process: 253 / 30

On to step 4:
253 divided by 30 is 8 with a remainder of 13.
Record the quotient 8 as the next digit in the result. 
Result so far: 138.0
If we take 240 away from 253, we end up with 13.
Include the next digit (3) from the dividend after 13, then repeat: 133 / 30

Moving on to step 5:
If we divide 133 by 30, we get 4 and a remainder of 13.
The number 4 becomes the next digit in our result. 
Result so far: 1384.0
If we subtract 120 from 133, we get 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 30

Advancing to step 6:
When dividing 136 by 30, we get 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 13844.0
Deduct 120 from 136 and we're left 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.

On to step 7:
If we divide 160 by 30, we get 5 and a remainder of 10.
The next digit of our result is 5. 
Result so far: 13844.5
Subtracting 150 from 160 leaves us with 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 8:
The number 30 fits into 100 3 times, leaving a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 13844.53
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.

Going ahead to step 9:
30 can be fit into 100 3 times, resulting in a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 13844.533
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 13844.533 and a remainder of 0.001.