He'd have to be in Protective Custody, PC. That means isolated and by himself. Given his temper and his habit of saying stupid shit, chances are he'd threaten something stupid and end up in a pickle suit.
There's no way he'd eat the food from any jail or correctional facility, so he'd probably make some stupid claim like he would go on a hunger strike or some nonsense till he got his McDonalds and diet coke. Which, normally, wouldn't happen. Again, pickle suit for self harming behaviors.
There would, without question, be protestors and supporters outside the jail. That means round the clock armed security and putting the whole facility into lockdown for the duration. They'd probably have to halt all other incoming inmates and bookings, farm them out to other area agencies.
The cost associated with booking and holding Donald Trump, even if for a day, are astronomical. The logistics and strain on employees would also be incredible. Him being locked up, just from a work perspective, is a nightmare scenario.