The present invention relates to a process for the production of an aqueous glucose solution from maize or maize kernels. The invention also relates to a glucose solution obtainable by this process, and to its use for the production of organic compounds. The process according to the invention comprises: a) fractionating dry milling of maize kernels, where the maize kernels are separated into a maize-starch-comprising endosperm fraction and a high-oil germ fraction and, if appropriate, a bran fraction; b) enzymatic liquefaction and saccharification of the maize starch in an aqueous suspension of the endosperm fraction, which gives an aqueous glucose solution comprising maize gluten; and c) depletion of the maize gluten and, if appropriate, any bran present from the aqueous glucose solution.