NOVELTY - Producing fatty acid alkyl esters by transesterification of fats or oils with alkyl alcohols, comprises mixing the fats or oils as well as alkyl alcohols and a catalyst in a mixing reactor (2, 5) in at least one reaction step (1, 4); separating the resulting mixture into a low, ester-rich phase and a heavy glycerin-rich phase; separating fatty acid alkyl ester from the low, ester-rich phase; and contacting the fat or oil and/or the raw alkyl ester produced by transesterification and/or biodiesel end products obtained after the separation of byproducts, with a precipitating agent.    USE - The process is useful for producing fatty acid alkylesters. The agent is useful in the production of fatty acid from fats or oils (claimed).    ADVANTAGE - The process avoids the solid deposition in the production plant and in the end products during the production of biodiesel.    DETAILED DESCRIPTION - Producing fatty acid alkyl esters by transesterification of fats or oils with alkyl alcohols, comprises mixing the fats or oils as well as alkyl alcohols and a catalyst in a mixing reactor (2, 5) in at least one reaction step (1, 4); separating the resulting mixture into a low, ester-rich phase and a heavy glycerin-rich phase in a separator (3, 6); separating fatty acid alkyl ester from the low, ester-rich phase; and contacting the fat or oil and/or the raw alkyl ester produced by transesterification and/or biodiesel end products obtained after the separation of byproducts, with a precipitating agent, where the precipitating agent is an organic polymer additive, a macromolecular natural substance and/or gluten. INDEPENDENT CLAIMS are included for:    (1) agents for removing sterol glycoside containing precipitates during the production of fatty acid alkyl esters by transesterification of fats or oils with alkyl alcohols, where the agent is an organic polymer, preferably polyvinylpyrrolidone or polyvinylpolypyrrolidone, a macromolecular natural substance, preferably starch, lignin or tannin, and/or gluten; and    (2) a plant for the production of fatty acid alkyl esters by transesterification of fats or oils with alkyl alcohols, comprising a mixing reactor for mixing the fats or oils with the alkyl alcohols and a separator in which the mixture is separated into a low, ester-rich phase and a heavy, glycerin-rich phase, and a separator for separating fatty acid alkyl ester from the low, ester-rich phase, and a mixing device (26, 27, 28) for mixing the supplied fats or oil and/or raw alkyl ester produced by transesterification and/or the biodiesel-end products obtained after the removal of byproducts with the agent.    DESCRIPTION OF DRAWING(S) - The figure shows a schematic representation of a plant for carrying out the process for producing fatty acid alkyl ester (Drawing includes non-English language text).    Reaction steps (1, 4)    Mixing reactors (2, 5)    Separator (3, 6)    Wash column (21)    Drier (25)    Mixing device (26, 27, 28)    Separation device. (29, 30, 31)