We look at the division of 303386 by 9 
We're looking to find how many times 9 goes into 303386.

Going ahead to step 1:
9 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 9

Step 2:
9 can be fit into 30 3 times, resulting in a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 27 from 30 leaves us with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 9

On to step 3:
If we divide 33 by 9, we get 3 and a remainder of 6.
The next digit of our result is 3. 
Result so far: 33.0
Subtract 27 from 33 to get 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 9

On to step 4:
63 divided by 9 is 7 with a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 337.0
If we take 63 away from 63, we end up with 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 9

Advancing to step 5:
9 can be fit into 8 0 times, resulting in a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 3370.0
If we subtract 0 from 8, we get 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 9

On to step 6:
The number 9 fits into 86 9 times, leaving a remainder of 5.
Put 9 as the next digit of the answer. 
Result so far: 33709.0
Subtracting 81 from 86 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.

Advancing to step 7:
The number 9 fits into 50 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 33709.5
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.

Let's proceed to step 8:
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: 33709.55
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 final result is 33709.55 with a remainder of 0.005.