There were 3 methods for tattoo removal before the 1980's (when tattoo removal became popular). All these methods were both painful and often left surgical scars as well.
Excision: Where the dermatologic surgeon removes the tattoo with a scalpel and closes the wound with stitches (In some cases involving large tattoos, a skin graft from another part of the body may be necessary).
Now we thankfully have lasers to remove the tattoos! But the type of laser that will be used, depends on the pigments of the "ink" (tattoo) that you have on your skin.
Lasers (used for the laser removal) work by producing short pulses of intense light that pass harmlessly through the top layers of the skin to be selectively absorbed by the tattoo pigment. This laser energy causes the tattoo pigment to fragment into smaller particles that are then removed by the body's immune system.
Quick Side Note: "Q switching" refers to the technique where the laser is altered so that the laser outputs a pulsed beam. This alteration causes the output of short, high energy waves that produce more energy than if the laser were to output a continuous non-pulsed beam.
Now I assume all of us want to know how much laser tattoo removal costs, but many factors effect the rate. Laser tattoo removal can range from several hundred dollars up into the thousands of dollars, depending upon the size, type and location of the tattoo and the number of visits required. More bad news is that medical insurance generally doesn't pay for tattoo removal, since it is considered aesthetic or cosmetic in nature (unless its a traumatic tattoo).
Sorry it was long but hey, at least now you know to think about getting the tattoo you really want, before you make a rash decision to get it. A decision you might regret later in life! But I don't want this to discourage you from getting a tattoo, if you really want one. I'd just suggest getting it somewhere it won't be a bother.