Embodiments provide a method and apparatus for recovering components from a hydrocarbon feedstock. According to at least one embodiment, the method includes supplying a hydrocarbon feedstock to an oxidation reactor, wherein the hydrocarbon feedstock is oxidized in the presence of a catalyst under conditions sufficient to selectively oxidize sulfur compounds and nitrogen compounds present in the hydrocarbon feedstock, separating the hydrocarbons, the oxidized sulfur compounds, and the oxidized nitrogen compounds by solvent extraction, collecting a residue stream that includes the oxidized sulfur compounds and the oxidized nitrogen compound, supplying the residue stream to a fluid catalytic cracking unit, and recycling liquid products produced by the fluid catalytic cracking unit to the oxidation reactor to selectively oxidize sulfur compounds in the liquid products, the portion of the liquids products including at least one of light cycle oils and heavy cycle oils.