Methods of fracturing a well can include the steps of: (A) obtaining a fracturing job design having at least one treatment interval; (B) running a tubular string into the treatment interval; (C) before or after the step of running, forming one or more tubular string openings in the tubular string, wherein after the step of running, the one or more tubular string openings are positioned in the treatment interval; (D) except for the axial passageway of the tubular string, blocking at least 86% of the nominal cross-sectional area of the treatment interval that is between one of the ends of the treatment interval and the axially closest of the one or more tubular string openings, and, except for the axial passageway of the tubular string, leaving unblocked at least 4% of the nominal cross-sectional area of the treatment interval; and (E) pumping a fracturing fluid through the one or more tubular string openings at a rate and pressure sufficient to initiate at least one fracture in the subterranean formation surrounding the treatment interval.