77117 divided by 9 
We want to figure out the number of times 77117 can be divided by 9.

Step 1:
7 divided by 9 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 9

Moving on to step 2:
77 divided by 9 is 8 with a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 72 from 77 and we're left with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 9

Going ahead to step 3:
51 divided by 9 is 5 with a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 85.0
If we subtract 45 from 51, we get 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 9

Advancing to step 4:
When dividing 61 by 9, we get 6 with a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 856.0
If we subtract 54 from 61, we get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 9

Going ahead to step 5:
If we divide 77 by 9, we get 8 and a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 8568.0
Subtracting 72 from 77 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.

Moving on to step 6:
9 goes into 50 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 8568.5
If we take 45 away from 50, 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.

On to step 7:
9 goes into 50 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 8568.55
Deduct 45 from 50 and we're left 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.

The final outcome is 8568.55, with a leftover of 0.005.