71717 divided by 9 
We want to figure out the number of times 71717 can be divided by 9.

Going ahead to step 1:
If we divide 7 by 9, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 9

Going ahead to step 2:
9 goes into 71 7 times with a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 8 after subtracting 63 from 71.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 9

Advancing to step 3:
9 can be fit into 87 9 times, resulting in a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
If we subtract 81 from 87, we get 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 9

Moving on to step 4:
61 divided by 9 is 6 with a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 796.0
The remainder is 7 after subtracting 54 from 61.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 9

Going ahead to step 5:
When dividing 77 by 9, we get 8 with a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 7968.0
Subtract 72 from 77 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.

Going ahead to step 6:
If we divide 50 by 9, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 7968.5
Subtracting 45 from 50 leaves us 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.

Let's proceed to step 7:
50 divided by 9 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 7968.55
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.

The final outcome is 7968.55, with a leftover of 0.005.