Abstract: A method of dividing a mixture of pieces or fragments of different materials and different sizes, e.g. fragments of domestic wastes, into two or more fractions, enriched with respect to one or more materials, in which method the mixture is charged to the lower part of an inclined shaking table arranged for rotary movement about two shafts at an amplitude and a speed of rotation so adjusted that large pieces or fragments of material of high elasticity and/or rigidity are caused to bounce on the shaking table and, as a result of the inclination of said table, bounce down to the lower end thereof and away from said lower end to form a first fraction, while pieces or fragments of material which lack, or have only slight rigidity and/or elasticity are moved as a result of the rotary movement of the shaking table, and are discharged from the upper end of said table to form a second fraction.