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You can check online your turn to pick up a new Residence Card at the Tokyo Immigration Bureau's A counter.

When you go to the Tokyo Immigration Bureau to receive a new Residence Card (Zairyu Card) at the A counter after your application has been approved, you may have to wait for sometimes 2 to 3 hours while they call your turn.

 

They have screens in the waiting area that display the reception numbers of those whose new Residence Card is ready to be picked up.

 

And they have recently started providing the same information online.

 

https://tokyo-immi-junban.moj.go.jp/shinsakanri/index.php

 

This can be helpful if you want to wait outside the building and get back on time.