Preheat your oven to 450 degrees Fahrenheit, and position a rack in the second from top slot.
Fill the ramekins ¾ of the way full with chocolate chips. Top with a heaping ½ cup of mini marshmallows.
Place the ramekins on a baking sheet and place on the second from top rack in the oven. Let cook for 7 minutes, or until the marshmallows reach your desired level of golden brown.
Serve immediately with the quartered graham crackers. The ramekins will be very hot, so be careful with handling!