Use an angle finder to determine the angle of the corner you will be installing the quarter round molding in. Place one leg of the angle finder on one wall and the remaining angle on the other. Read the angle from the indicator in the center. Divide this number in half to determine the angle of the cut. Most corners will be 90 degrees, or right angles, which call for two 45-degree cuts
Check the placement of the piece to figure out whether the cut is on the right or left end of the molding. Measure and mark the molding along its top edge, where it will meet the corner.
Set the miter sled in the slide channel of the table saw to the left of the blade to cut the right end of your molding and vice versa. Twist the handle on the back of the miter sled counterclockwise to release the adjustment and turn the miter fence to the correct angle as indicated by the arrow on the miter gauge. Set the fence so that the side away from the blade is turned away from you. Twist the handle clockwise to tighten it in position.
Set the molding against the fence of the miter sled, with the top edge away from you and the mark aligned with the close side of the blade. Set the blade height to just barely cut through the molding, this will give a cleaner cut. Make the adjustment with the wheel under the table on the right side of the saw body.
Start the blade and allow it to come up to full speed. Hold the molding firmly against the fence and down to the table. Push the sled up and past the blade, cutting the molding in a single smooth motion. Turn the saw off and allow it to stop spinning before retrieving the piece.