Can i use a shotgun with a scope to hunt deer in idaho?

Yes.  It is legal to hunt deer in Idaho with a shotgun equipped with a scope during any-weapon and short-range weapon hunts.  Also, there may be no electronic devices attached to, or incorporated on, the firearm or scope; except scopes containing battery powered or tritium lighted reticles are allowed.  Also, the shotgun must be loaded with shot of #00 buck or larger.  These and other weapon restrictions can be found on page 98 of the 2015 & 2016 Big Game Seasons and Rules brochure.