A method of cleaning residue from a surface includes providing a disposable cellulosic wiper including a percentage by weight of pulp-derived papermaking fibers, and a percentage by weight of 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 Laplace pore volume fraction at pore sizes less than 15 microns of at least 1.5 times that of a like wiper prepared without such microfibers. The wiper is applied, with a predetermined amount of pressure, to a residue-bearing surface. The surface is wiped with the wiper, 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.