A method of steam cracking using a steam cracking arrangement including an electric cracking furnace without a convection zone and a quench cooling train is proposed, wherein a process gas stream is passed through the cracking furnace and the cooling train. The cooling train is operated to comprise at least two distinct cooling steps arranged in either order, wherein in a first cooling step at least a part of the process gas stream withdrawn from the electric cracking furnace is cooled against vaporizing boiler feed water at an absolute pressure level between 30 and 175 bar and wherein in a second cooling step at least a part of the process gas stream withdrawn from the electric cracking furnace is cooled against a superheated mixture of feed hydrocarbons and process steam used in forming the process gas stream which is thereby heated to a temperature level between 350 and 750° C.