Disclosed is a digital dividing circuit for dividing a timing signal. Memory elements are disposed in opposed pairs at opposed sides of a data loop. Each memory element is clocked to change the data bit it stores on each clock pulse. At least two opposed nodes along the data loop are coupled to one another by a memory content check MCC sub-circuit. The MCC checks for a desired relation between nodes. If the desired relation exists, then data values and phases rotate a step around the data loop during each clock cycle. If the desired relation does not exist, then the data value on one node is used to correct the data value on the opposed node so to achieve the desired relation. The clock signal is divided based on the number of memory elements around the data loop, and some or all pairs of opposed memory elements may be coupled through the MCC.