We're dividing 317303 by 9 
We want to figure out the number of times 317303 can be divided by 9.

Going ahead to step 1:
If we divide 3 by 9, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 9

On to step 2:
9 goes into 31 3 times with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 27 from 31 to get 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 9

Let's proceed to step 3:
When dividing 47 by 9, we get 5 with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 35.0
If we take 45 away from 47, we end up with 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 9

Advancing to step 4:
23 divided by 9 is 2 with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 352.0
Subtracting 18 from 23 leaves us with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 9

Advancing to step 5:
50 divided by 9 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 3525.0
Deduct 45 from 50 and we're left with 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 9

Advancing to step 6:
The number 9 fits into 53 5 times, leaving a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 35255.0
The remainder is 8 after subtracting 45 from 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
9 can be fit into 80 8 times, resulting in a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 35255.8
The remainder is 8 after subtracting 72 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
When dividing 80 by 9, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 35255.88
Subtract 72 from 80 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final outcome is 35255.88, with a leftover of 0.008.