MOTM

I have lost in basic divider function principles, can someone give a
hint, please?
For example, if input of  a'730 is gates of a keyboard and some
triplets with ties are played, - will there be /7 output at all? in
other words - how many clock pulses is needed for a particular divisor
to successfully give an output and how long it will stay on if the
input clock suddenly changes or turns off?

Thank you!
Girts