We look at the division of 415627 by 9 
We want to figure out the number of times 415627 can be divided by 9.

Moving on to step 1:
When dividing 4 by 9, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 9

Step 2:
9 goes into 41 4 times with a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 5 after subtracting 36 from 41.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 9

Moving on to step 3:
9 goes into 55 6 times with a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 46.0
If we take 54 away from 55, we end up with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 9

Moving on to step 4:
9 goes into 16 1 times with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 461.0
Subtract 9 from 16 to get 7.
Include the next digit (2) from the dividend after 7, then repeat: 72 / 9

Step 5:
9 can be fit into 72 8 times, resulting in a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 4618.0
The remainder is 0 after subtracting 72 from 72.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 9

Advancing to step 6:
If we divide 7 by 9, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 46180.0
Subtract 0 from 7 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
If we divide 70 by 9, we get 7 and a remainder of 7.
The next digit of our result is 7. 
Result so far: 46180.7
The remainder is 7 after subtracting 63 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 8:
The number 9 fits into 70 7 times, leaving a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 46180.77
The remainder is 7 after subtracting 63 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 46180.77 with a remainder of 0.007.