According to the Constitution of South Africa, Jacob Zuma will have to resign, followed by his ministers and their deputies.
The Speaker of Parliament, Baleka Mbete, will effectively become the acting president of the country with all powers the Constitution affords the president. Her acting presidency cannot go for more than 30 days.
The Chief Justice Mogoeng Mogoeng will within 30 days of successful motion of no confidence announce the date which the new president will be elected by the parliament. The sitting will be presided by him or any judge mandated by him.
Should parliament fail to appoint a new president within 30 days, the Speaker of Parliament will have to dissolve the parliament and call for fresh General Elections.