On December 31, 1994 at 1050 Alaska standard time, a wheel equipped Cessna 182 airplane, N92105, operated by the Pilot, ran off the right side of the runway during landing at New Stuyahok, Alaska. The business flight, operating under 14 CFR Part 91, departed Dillingham, Alaska, and the destination was New Stuyahok. A visual flight rules flight plan was filed and visual meteorological conditions prevailed. The commercial certificated Pilot, the sole occupant, was not injured and the airplane received substantial damage. According to the Pilot, he landed on the runway and the airplane began to drift left. He stated he over-corrected and the airplane ran off the right side of the runway and struck a snow berm. The airplane stopped and the pilot dug the aircraft out of the snow. He examined the airplane but did not see any damage and did not realize any damage had been done until he brought the airplane in for maintenance on February 7, 1995. The airplane received damage to the left wing and firewall.