Sorry for my English. Also this design is now 2 years old and hoppers now no longer have a full hitbox, therefore your shulker boxes will get stuck. To prevent this, you have to move the pistons to be next to the hoppers that load shulker boxes into droppers and rearrange some redstone. I might even update the design if it gets some attention.

// Links
TangoTek's sorting system:
https://www.youtube.com/watch?v=dmtMUvMg12g

My testing world:
http://www.mediafire.com/file/sem064dx11pzujx/Redstone%20Testy%202.zip

// Music
Intro: Alan Walker - Spectre
https://www.youtube.com/watch?v=AOeY-nDp7hI
Outro: TheFatRat - Unity
https://www.youtube.com/watch?v=n8X9_MgEdCg