411717 ÷ 9 
We want to figure out the number of times 411717 can be divided by 9.

Step 1:
If we divide 4 by 9, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 9

Moving on to step 2:
The number 9 fits into 41 4 times, leaving a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 36 from 41, we get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 9

Let's proceed to step 3:
9 can be fit into 51 5 times, resulting in a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 45.0
Subtract 45 from 51 to get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 9

Moving on to step 4:
9 can be fit into 67 7 times, resulting in a remainder of 4.
The next digit of our result is 7. 
Result so far: 457.0
If we subtract 63 from 67, we get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 9

On to step 5:
The number 9 fits into 41 4 times, leaving a remainder of 5.
The next digit of our result is 4. 
Result so far: 4574.0
Subtract 36 from 41 to get 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 9

Going ahead to step 6:
57 divided by 9 is 6 with a remainder of 3.
The next digit of our result is 6. 
Result so far: 45746.0
The remainder is 3 after subtracting 54 from 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
The number 9 fits into 30 3 times, leaving a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 45746.3
If we subtract 27 from 30, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 8:
9 can be fit into 30 3 times, resulting in a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 45746.33
The remainder is 3 after subtracting 27 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Our division results in 45746.33 with a remaining 0.003.