We look at the division of 412401 by 30 
We want to figure out the number of times 412401 can be divided by 30.

Let's proceed to step 1:
The number 30 fits into 4 0 times, leaving 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 (1) of the dividend behind the 4 and repeat the process: 41 / 30

On to step 2:
If we divide 41 by 30, we get 1 and a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 30 from 41 to get 11.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 30

On to step 3:
When dividing 112 by 30, we get 3 with a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtracting 90 from 112 leaves us with 22.
Append the next digit (4) from the dividend to 22 and continue with: 224 / 30

On to step 4:
If we divide 224 by 30, we get 7 and a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 137.0
The remainder is 14 after subtracting 210 from 224.
Include the next digit (0) from the dividend after 14, then repeat: 140 / 30

Going ahead to step 5:
If we divide 140 by 30, we get 4 and a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 1374.0
Subtracting 120 from 140 leaves us with 20.
Bring next digit (1) of the dividend behind the 20 and repeat the process: 201 / 30

Let's proceed to step 6:
201 divided by 30 is 6 with a remainder of 21.
Write down 6 as next digit of the result. 
Result so far: 13746.0
Subtract 180 from 201 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
When dividing 210 by 30, we get 7 with a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 13746.7
The remainder is 0 after subtracting 210 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
When dividing 0 by 30, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 13746.7
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
The number 30 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 13746.7
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 13746.7 and a remainder of 0.0.