Parsing inflected forms may not always work as expected. If the following does not give the correct word, try Latin Words or Perseus.
pauxillātim, adv. [pauxillus], = paulatim, by little and little, by degrees, gradually (ante-class.): ad aliquem pauxillatim accedere, Plaut. Ep. 2, 2, 63; id. Rud. 4, 2, 24.