The Division of Employment Services is established and shall have the power to perform and shall be responsible for the performance of all the powers, duties and functions respecting employment services heretofore performed by the Employment Security Commission of Delaware in the exercise of its powers and duties pursuant to Chapters 31 (except for § 3155 [repealed] of Title 19 which shall be vested in the Department of Finance and the Department of Administrative Services as provided by law) and 33 of Title 19.