Sorry to hear about your crystal, that really sucks.
To answer your question I would follow my instinct and intuition. You don't have to throw it away, but perhaps give the pieces away to friends or something. I am a firm believer that these crystals and stones come into our lives for a reason and will stay for as long as we 'need' them. At that time they will get lost, disappear or break.
Perhaps this one has fulfilled his purpose for being with you and you no longer need that one.
I would hate to see you throw it away tho and so I suggest giving the pieces away if you decide you don't want to keep them...
Just me thoughts! Hope they helped.
Sincerely
Tamara