I am normally really good about cleaning my razor after every shave. I rinse it off with hot water and then use a towel to dry/polish the blade. Once that is done I put it back in its case and off I go. This morning while drying off the blade I noticed the orange warning signs of rust, but the location was rather difficult to get to so I need advice on how to clean that area and prevent rust from getting there.

The location: at the pivot point of the Blade and the scales.

Any help/advice is appreciated.