A process comprising treating a feed, the major portion comprising olefinic hydrocarbons containing 4 atoms per molecule, including isobutene, also butene-1 and butene-2 compounds in a ratio which substantially corresponds to the thermodynamic equilibrium, in which said feed is treated in a first distillation zone, associated with at least one hydroisomerisation reaction zone, so as to produce an overhead effluent from the distillation zone which is rich in isobutene, and a bottom effluent from the distillation zone which is rich in butene-2 compounds, the major portion of the bottom effluent being sent to a second distillation zone, which produces a first effluent comprising butene-2 compounds as its major portion and a second effluent comprising normal-butane as its major portion, the major portion of said first effluent being passed into a skeletal isomerisation zone, and a portion of the first effluent from the skeletal isomerisation zone being recycled upstream of the first distillation zone.