Only a few people with faimily name Čuća live in Croatia today, in one household only. There were 30 of them in the middle of the past century, and their number decreased significantly. They are located in only two Croatian places: in Sveti Ivan Zelina (<5) and Potocani in Daruvar area (<5).
In the sources analysed in the project Acta Croatica so far, the name is mentioned few times, the first time 2007 in source Encyclopaedia of Croatian Surnames.