Hello. If the tablet is Windows OS you can use the "quick assist" app. You also can use the RDP. Now if the tablet is android, Then you would need to think of the tablet as a wireless tv receving a mirrorcast signal. My suggetions would be to use an mini bluetooth device that has the built in tackpad + keyboard for control of the device [if equipped with blue tooth or if in range]. The control of the dsiplayed screen has dependancies. The best soloution is to use a 2 in 1 Windows device and not depend on a mirror cast device. They do make the larger Windows "TV" touch screen devices but that would require a big budget.
Missing info: The OS of the tablet