Or build fast reactors, which can use most of that waste for fuel. The long-term radioactivity comes from transuranics, which fast neutrons fission quite well.

What's left is just fission products. Encase them in glass and bury them, and they'll be back to the radioactivity of the original ore in 300 years. Most of the radioactivity will be gone in the first few decades, since the decline is exponential.

Russia has a couple fast reactors in operation right now, and various startups are attempting new designs.