Processes and systems for commercial scale milling of wheat are disclosed. Processes include multiple tempering steps of controlled duration and cubing of the wheat kernel between two tempering steps. The cubing between the tempering breaks the kernels, or stresses the kernels, in a manner that enables a high degree of separation of the bran and endosperm early in the flour production process. An embodiment includes tempering for a first period between ½ hour and 2 hours, cubing in a roll crusher with longitudinal corrugations on one roll and circumferential corrugations on a second roll, removing fines from the cubed kernels, and further tempering of the cubed kernels for a period between ½ hour and 2 hours.