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Last name Basiuk (Basiuk , Басюк ) , across the world, is quite a common surname. The last name Basiuk is habitual in Ukraine, where it is quite a common surname, Belarus, where it is quite a rare surname, and Kazakhstan, where it is a rare surname. In absolute terms, it most frequently occurs in Eastern Europe, particularly Ukraine, Russia, and Belarus. Much less frequently, Basiuk is the forename as well as the last name.