
der Papierkorb
wastepaper basket
A container used to collect waste, especially paper.
Wirf das zerknüllte Blatt bitte in den Papierkorb.
Please throw the crumpled sheet of paper into the wastepaper basket.
wastepaper basket / trash
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wastepaper basket
A container used to collect waste, especially paper.
Wirf das zerknüllte Blatt bitte in den Papierkorb.
Please throw the crumpled sheet of paper into the wastepaper basket.

trash / recycle bin
A virtual folder on a computer where deleted files are temporarily stored before they are permanently removed.
Ich habe die Datei aus Versehen gelöscht, aber sie ist zum Glück noch im Papierkorb.
I accidentally deleted the file, but luckily it's still in the trash.
This word is made up of 'Papier' (paper) and 'Korb' (basket). So it literally means a basket for paper, which makes the meaning very easy to understand.
Der Papierkorb neben dem Schreibtisch ist schon wieder voll.
The wastepaper basket next to the desk is full again already.
The preposition 'in' is used with either the accusative or dative depending on the context. Movement is expressed with 'in den Papierkorb' (into the wastepaper basket/trash; accusative), while a location is expressed with 'im Papierkorb' (in the wastepaper basket/trash; dative).
Ich habe das Dokument aus Versehen in den Papierkorb verschoben.
I accidentally moved the document to the trash.
You can tell from context whether the physical or virtual container is meant. Words like 'Datei' (file), 'klicken' (to click), 'verschieben' (to move), or 'wiederherstellen' (to restore) point to the computer trash/recycle bin.
Du kannst die gelöschten Fotos aus dem Papierkorb wiederherstellen.
You can restore the deleted photos from the trash.
In connection with the physical container, the verbs 'werfen' (to throw), 'leeren' (to empty), or 'ausleeren' (to empty out) are often used.
Kannst du bitte den Papierkorb ausleeren? Er ist ganz voll.
Could you please empty the wastepaper basket? It's completely full.
trash can / recycle bin
Both words can refer to a container for waste or to a virtual folder for deleted files. Mülleimer is more commonly used for general or mixed waste, while Papierkorb is used especially for paper and, on a computer, for the virtual folder. So pay attention to whether the context is physical or digital and to the type of waste.

Die gelöschte Datei liegt noch im Papierkorb des Computers.
The deleted file is still in the computer's recycle bin.
Bitte wirf die leere Verpackung in den Mülleimer unter dem Schreibtisch.
Please throw the empty packaging into the trash can under the desk.