The document provides details on finding the smallest positive 3-digit number that leaves a remainder of 2 when divided by 3, 4, 5 or 6. It uses the key techniques of the Least Common Multiple (LCM) and the Chinese Remainder Theorem. The LCM of 3, 4, 5, and 6 is 60. Therefore, the number must be a multiple of 60 plus 2, resulting in the answer of 122.