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Last name origin & meaning:

Polish (Dembiński), Jewish (eastern Ashkenazic), Ukrainian, and Belorussian: habitational name for someone from a place named with d{a,}b ‘oak’: in Polish D{e,}bin, D{e,}bina, or D{e,}biny; in Ukrainian or Belorussian Dembino. The usual form of the Polish surname is D{e,}biński.