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Your error was in reading the 3 as the coefficient of 82. The 6 is the coefficient of 80. The next digit to the left, 3, is the coefficient of the next higher power of 8, which is 81, not 82.
There doesn’t have to be a multiple of 82 in an octal number any more than there needs to be a multiple of 102 in a decimal number. For example, 4510 would be expanded as