Abstract: An improved fractional divider that comprises an integer value storage means containing the integer part of the division value ‘K’ connected to the input of a programmable counter means that is configured for a count value of ‘K’ or ‘K+1’ depending upon the state of a count control signal and generates the output signal as well a terminal count signal which is connected to an enable input of a fractional accumulator means that produces the count control signal on an addition overflow and has a first input connected to its result output and a second input connected to the output of a fractional value storage means, containing the fractional part of the divider value.