Place a tortilla in a hot, uncoated pan with a little vegetable oil. Sprinkle some cheese on top and place a second tortilla on top of the first tortilla. Apply light pressure and fry 1-2 minutes until golden brown.
Flip the quesadilla over and fry until the other side is golden brown and the cheese is melted. Using this technique, make 3 more quesadillas. To serve, cut into pieces and arrange on a serving plate.