We divide 419266 by 30
We want to divide 419266 by 30.

Going ahead to step 1:
If we divide 4 by 30, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 30

Moving on to step 2:
30 can be fit into 41 1 times, resulting in a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 30 away from 41, we end up with 11.
Append the next digit (9) from the dividend to 11 and continue with: 119 / 30

Step 3:
30 goes into 119 3 times with a remainder of 29.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
If we take 90 away from 119, we end up with 29.
Append the next digit (2) from the dividend to 29 and continue with: 292 / 30

Moving on to step 4:
292 divided by 30 is 9 with a remainder of 22.
The next digit of our result is 9. 
Result so far: 139.0
If we subtract 270 from 292, we get 22.
Take the next digit (6) from the dividend and append it to 22, then repeat: 226 / 30

Going ahead to step 5:
If we divide 226 by 30, we get 7 and a remainder of 16.
Put 7 as the next digit of the answer. 
Result so far: 1397.0
Subtracting 210 from 226 leaves us with 16.
Fetch the next digit (6) from the dividend, attach it to 16 and continue: 166 / 30

Step 6:
30 goes into 166 5 times with a remainder of 16.
Use 5 as the next digit of our solution. 
Result so far: 13975.0
Subtracting 150 from 166 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.

Let's proceed to step 7:
When dividing 160 by 30, we get 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 13975.5
If we take 150 away from 160, 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.

Advancing to step 8:
30 can be fit into 100 3 times, resulting in a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 13975.53
Deduct 90 from 100 and we're left 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.

On to step 9:
If we divide 100 by 30, we get 3 and a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 13975.533
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 13975.533 and a remainder of 0.001.