Disclosed is a method of excavating large quantities of non-homogenous radioactive contaminated waste, desirably without releasing radioactive contaminated dust or exposing personnel to its hazards. The excavation of buried waste is performed in the presence of a suppression fluid that coats the waste and captures and retains particles so that they do not become airborne. Use of this suppression fluid technique allows larger mechanized excavation equipment to be used to perform the work. This keeps workers away from the waste. The waste is excavated and placed inside large steel boxes, such as a roll-off box, by the excavator. The suppression fluid covers the waste in the boxes and prevents particulate emissions from the waste.