How to make furniture recesses with 3DMAX?

The first method: I do not know the number of segments of your model, if you want to draw the groove where the number of segments is enough, use the polygon under the draw deformation command to try; the second method: direct selection of the edge or select the face to make the groove at the face of the inward extrusion (in the extrusion before you must be wired reasonably), and then subdivided so that the model can be smooth.