How to repair solid oak antique table top broken clean through?

I have an antique 54" oak dining room table which can be opened for a leaf. The top is made of 9" x 3/4" oak panels. The table top also has a wood band that goes around the circumference which is 3" x 1/2". The band is attached to the top with screws every 6" or so. At one end of the table a top panel has fractured clean through and all the way across. Only the band around the table is holding this piece in place. I am thinking of removing the band and gluing the piece in place. I would then reinstall the band. Wil this sufficiently repair a dining table which will be used daily?