We look at the division of 903323 by 3 
Let's see how many times 3 fits into 903323.

Step 1:
9 divided by 3 is 3 with a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 9 from 9 and we're left with 0.
Append the next digit (0) from the dividend to 0 and continue with: 0 / 3

Step 2:
When dividing 0 by 3, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 30.0
Deduct 0 from 0 and we're left with 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 3

On to step 3:
3 can be fit into 3 1 times, resulting in a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 301.0
The remainder is 0 after subtracting 3 from 3.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 3

Advancing to step 4:
The number 3 fits into 3 1 times, leaving a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 3011.0
The remainder is 0 after subtracting 3 from 3.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 3

Let's proceed to step 5:
If we divide 2 by 3, we get 0 and a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 30110.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 3

Step 6:
3 goes into 23 7 times with a remainder of 2.
The next digit of our result is 7. 
Result so far: 301107.0
Deduct 21 from 23 and we're left 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:
The number 3 fits into 20 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 301107.6
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.

Advancing to step 8:
3 goes into 20 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 301107.66
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.

The quotient of the division is 301107.66, and the remainder is 0.002.