One exemplary embodiment can be a process for producing a diesel fuel. The process can include providing a hydrocarbon feed to a residue processing unit. Generally, the residue processing unit includes a solvent deasphalting zone, a hydroprocessing zone, and a hydroprocessing fractionation zone. The process can further include recycling at least a portion of an unconverted oil stream from the hydroprocessing fractionation zone, and sending one part of the at least a portion of the recycled unconverted oil stream to the unconverted oil fractionation zone providing a light unconverted oil stream downstream of the solvent deasphalting zone and a heavy unconverted oil stream to the solvent deasphalting zone.