Explanation:

4⁹⁶/6, we can write it in this form
(6−2)⁹⁶/6
Now, Remainder will depend only the powers of -2. So,

(16×16×16×16......24times)/6
On dividing individually 16 we always get a remainder 4.(4×4×4×4......24times)/6
Hence, Required Remainder = 4
NOTE: When 4 has even number of powers, it will always give remainder 4 on dividing by 6.