In a method and the corresponding apparatus for operating an internal combustion engine with a plurality of cylinders (Z1 to Z4) which are assigned in each case one injection valve (18) for metering in fuel, a control apparatus (25) is provided with in each case one output stage (25a) for actuating the injection valves (18) of the plurality of cylinders. Here, first of all work injection operations (P0 to P4) are determined for a cylinder (CYL_i) with the duration and positioning in relation to the crankshaft rotary angle. Following this, late injection operations (P5), which are required in certain operating modes, for the preceding cylinder (CYL_i−1) in the ignition sequence are arranged in a setpoint crankshaft angular range (SB) in such a way that no temporal overlaps occur between individual work and late injection operations.