A method of cleaning residue from a surface includes providing a disposable cellulosic wiper including a percentage by weight of pulp-derived papermaking fibers. The pulp-derived papermaking fibers have a characteristic scattering coefficient of less than 50 m2/kg. The wiper also includes a percentage by weight of fibrillated regenerated independent cellulosic microfibers having a number average diameter of less than about 2 microns, and a characteristic Canadian Standard Freeness (CSF) value of less than 175 ml. The microfibers are selected and present in amounts such that the wiper exhibits a scattering coefficient of greater than 50 m2/kg. The wiper is applied, with a predetermined amount of pressure, to a residue-bearing surface, and the surface is wiped, while applying the predetermined amount of pressure, to remove residue from the surface, such that the surface has less than 1 g/m2 of residue after being wiped under the predetermined amount of pressure.