Processes for improving the properties of byproducts of dry milling are described. In one process, fractionated plant seed tissue is soaked such that starch is loosened and washed away in the soaking liquid. A byproduct results that has decreased starch content, and when the byproduct includes germ tissue, has increased oil content. In a process, short soak times and lower temperatures are used as compared to traditional wet milling processes, and results in a byproduct that has both increased protein dispersibility index and increased oil content. Lower pH may further increase oil and protein dispersibility index levels. When a higher pH is used, protein dispersibility increases, regardless of the temperature of the soaking liquid.