Whenever I discover a tick that is latched onto my skin, I silently withdraw my Suppressor Ordinanza G.I.S from it's stealth tactical sheath in the small of my back and promptly administer repeated thrusts into the tick's tiny abdomen until it is so full of puncture wounds that it resembles a pin cushion made of Swiss Cheese sprinkled with Holy Water. Either the tick dies from being so Holy, of the host appendage falls off. Either way, the tick wouldn't be a problem anymore.
All joking aside, this is what I normally do when I discover a tick. Here are the steps.
1: I usually pinch the offending tick(s) between my index finger and the thumb on the same hand.
2: After asserting that I have a medium-firm to firm grip on the offending tick(s) abdomen and head, I retract the hand that is grasping the offending tick(s) in a rearward direction thus applying force in a direction opposite of that in which the skin of the surrounding area is in alignment with. That is to say, that I pull the offending tick away or in other words, perpendicular from the skin surround that in which the offending tick(s) thus forth resides.
3: After applying an outward force of approximately 12-15 pounds, the offending tick(s) will usually dislodge.
(Note: I would not try to dislodge the offending tick(s) if the force required to dislodge said tick(s) exceeded 15 pounds of force.)
If that is the case, I would advise you to see a professional medical assistant or doctor.