Look for levers at the top of the window jamb and pop them out with a flat-head screwdriver. Pull out the sash stops from the top corners of the jamb.
Lift the sash until you feel it disengage -- it must be open almost all the way and have cleared the balancers, which will come into view at the bottom of the window.
Angle one side of the window toward you and pull it away from the jamb.
Locate the tilt levers on the top of the movable part of the window. They are usually incorporated into the locks. If yours is a small window, there may be only one lever.
Raise the window about 4 inches, then pull the tilt levers out until they lock. This disengages the top of the window from the jamb. Angle the top of the window toward you until it's horizontal.
Angle one side of the window until that side clears the frame, then lift the window out of the frame.
Open the sliding part of the window -- which is usually the bottom part -- about 4 inches.
Remove the stops from both sides of the frame, using a pry bar or flat-head screwdriver. Work the bar of screwdriver under the bottom of each stop and pry it gently out, then work along the stop, moving toward the top of the window, until it is free. Set it aside.
Angle the top of the window toward you, then lift the window carefully out of the frame. Take the cords or chains off both sides and tie knots in the end to prevent them from disappearing behind the jamb.