
die Schublade
drawer
A container in the shape of a box without a lid that can be pushed into and pulled out of a piece of furniture such as a desk or a chest of drawers.
Die Socken sind in der obersten Schublade.
The socks are in the top drawer.
drawer
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drawer
A container in the shape of a box without a lid that can be pushed into and pulled out of a piece of furniture such as a desk or a chest of drawers.
Die Socken sind in der obersten Schublade.
The socks are in the top drawer.

to pigeonhole
To judge and classify someone or something hastily and superficially according to a stereotype or prejudice.
Nur weil er teure Kleidung trägt, sollte man ihn nicht gleich in die Schublade 'arrogant' stecken.
Just because he wears expensive clothes, you shouldn't immediately pigeonhole him as 'arrogant.'
The word 'Schublade' (drawer) is made up of 'Schub' (push, from the verb 'schieben' — to push) and 'Lade' (an old word for box). So it is literally a box that you can push.
Er schob die schwere Kiste mühsam über den Boden.
He laboriously pushed the heavy box across the floor.
In connection with a drawer, the verbs 'öffnen' (to open) and 'schließen' (to close) are often used, or the somewhat more figurative verbs 'aufziehen' (to pull open) and 'zumachen' (to close).
Kannst du bitte die Schublade wieder zumachen?
Can you please close the drawer again?
The idiom 'jemanden in eine Schublade stecken' (to pigeonhole someone) is very common. It means to judge a person superficially and based on prejudice, without really knowing them.
Es ist unfair, Menschen in Schubladen zu stecken, nur weil sie anders aussehen.
It is unfair to pigeonhole people just because they look different.
Closely related to the idiom is the expression 'in Schubladen denken' (to think in rigid categories). It describes the tendency to see the world and people in simple, fixed categories.
Ein offener Mensch versucht, nicht in Schubladen zu denken.
An open-minded person tries not to think in rigid categories.
subject / compartment
Fach and Schublade can both be used for storage. A Fach is a separate area in a piece of furniture and normally stays in place. A Schublade, by contrast, is a box-shaped container that can be pulled out of the furniture.

Die Stifte liegen in der oberen Schublade des Schreibtisches.
The pens are in the top drawer of the desk.
Die Stifte liegen im kleinen Fach des Schreibtischaufsatzes.
The pens are in the small compartment of the desk organizer.