Chateau de Fontainebleau - Motorhome Parking

Allyns

I would like to visit Cheauteau Fontainebleau, France in September but I am having difficulty in trying to find a suitable place to park my 6.9m long motorhome. My visit would only be for about 4 - 5 hours at most before moving on southwards to our next
planned overnight stay. I guess that there is somewhere for tourist buses and other large vehicles to park but so far I have only been able to find "standard" carparks in the area. Can anyone help? Long/Lat details or exact address details would be most useful.
The tourist office at the Chateau were not particularly helpful as they simply said there was ample space to park vehicles in the many carparks in the town. Looking on Google I could not find anything suitable.