We look at the division of 414672 by 9 
We're looking to find how many times 9 goes into 414672.

Moving on to step 1:
The number 9 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.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 9

Let's proceed to step 2:
9 goes into 41 4 times with a remainder of 5.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 36 from 41, we get 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 9

Let's proceed to step 3:
If we divide 54 by 9, we get 6 and a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 46.0
The remainder is 0 after subtracting 54 from 54.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 9

Moving on to step 4:
9 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 460.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 9

Moving on to step 5:
67 divided by 9 is 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 4607.0
If we subtract 63 from 67, we get 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 9

On to step 6:
If we divide 42 by 9, we get 4 and a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 46074.0
If we take 36 away from 42, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
If we divide 60 by 9, we get 6 and a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 46074.6
If we subtract 54 from 60, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
When dividing 60 by 9, we get 6 with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 46074.66
Deduct 54 from 60 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 46074.66 with a remainder of 0.006.