We're dividing 413708 by 9 
Our goal is to divide 413708 by 9.

Step 1:
When dividing 4 by 9, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 9

Moving on to step 2:
41 divided by 9 is 4 with a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 36 from 41 leaves us with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 9

Let's proceed to step 3:
53 divided by 9 is 5 with a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 45.0
Deduct 45 from 53 and we're left with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 9

Moving on to step 4:
9 goes into 87 9 times with a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 459.0
The remainder is 6 after subtracting 81 from 87.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 9

Step 5:
9 can be fit into 60 6 times, resulting in a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 4596.0
The remainder is 6 after subtracting 54 from 60.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 9

On to step 6:
The number 9 fits into 68 7 times, leaving a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 45967.0
If we take 63 away from 68, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
The number 9 fits into 50 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 45967.5
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
9 goes into 50 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 45967.55
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 45967.55, and the remainder is 0.005.