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Family name Daui (Daui , Дауи ) , around the world, is a rare cognomen. The family name Daui is habitual in Morocco, where it is a rare surname, Malaysia, where it is a very rare surname, and Spain, where it is an extremely rare surname. Measured by absolute frequency, this name is the most popular in Morocco, India, and Malaysia. Much less frequently, Daui is the forename as well as the last name.