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 94-97% of nuclear waste is recyclable. (See :Orango La Hague)

The leftover waste you vitrify. Stable, vastly shorter half life. 
 Send the waste to space and let it float  
 Definitely. We have the tech. Designate some distant moon. Or burn it up in the sun? Recycle and reuse the 97%. Vitrify and launch the remaining 3% waste.