303965 ÷ 3 
We want to figure out the number of times 303965 can be divided by 3.

On to step 1:
If we divide 3 by 3, we get 1 and a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 3 from 3 and we're left with 0.
Fetch the next digit (0) from the dividend, attach it to 0 and continue: 0 / 3

Advancing to step 2:
0 divided by 3 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 0 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 3

On to step 3:
3 goes into 3 1 times with a remainder of 0.
The next digit of our result is 1. 
Result so far: 101.0
Deduct 3 from 3 and we're left with 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 3

Let's proceed to step 4:
3 goes into 9 3 times with a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 1013.0
The remainder is 0 after subtracting 9 from 9.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 3

Let's proceed to step 5:
6 divided by 3 is 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 10132.0
Subtract 6 from 6 to get 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 3

Moving on to step 6:
3 can be fit into 5 1 times, resulting in a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 101321.0
If we take 3 away from 5, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
20 divided by 3 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 101321.6
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
3 can be fit into 20 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 101321.66
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 101321.66, with a leftover of 0.002.