NOVELTY - Selectively removing products from algal biomass comprising intact algal cells, comprises: combining algal biomass and first solvent set to give first extraction mixture including first solid phase (i) and first liquid phase (a); separating portion of (a); combining (i) and second solvent set to give second extraction mixture including second substantially solid phase (ii) and second liquid phase (b); separating portion of (b); combining (ii) and third solvent set to give third extraction mixture including third solid phase (iii) and third liquid phase (c); and separating a portion of (c).    USE - The process is useful for selectively removing products from algal biomass comprising substantially intact algal cells, where the algal biomass is unfrozen (claimed), and the products are algal oils, algal proteins and algal carotenoids. The process is useful for the production of: renewable fuels; and biofuels. The biofuels is useful for rendering products that are useful as fuels, foodstuffs and nutrient supplement.    ADVANTAGE - The method provides single and multistep extraction processes, which enable efficient separation of algal components. The method avoids the use of large amounts of energy required to dry and disrupt the cells.    DETAILED DESCRIPTION - Selectively removing products from an algal biomass comprising substantially intact algal cells, comprises: combining an algal biomass and a first solvent set, to obtain a first extraction mixture including a first substantially solid phase (i) and a first liquid phase (a); separating at least a portion of (a) of the first extraction mixture from (i); combining (i) and a second solvent set, to obtain a second extraction mixture, where the second extraction mixture includes a second substantially solid phase (ii) and a second liquid phase (b), and the second extraction mixture is less polar than the first extraction mixture; separating at least a portion of (b) of the second extraction mixture from (ii); combining (ii) and a third solvent set to obtain a third extraction mixture including a third substantially solid phase (iii) and a third liquid phase (c), and the third extraction mixture is less polar than the second extraction mixture; and separating at least a portion of (c) of the third extraction mixture from (iii).