
daneben
next to it
Indicates a position directly next to something or someone.
Der Tisch ist schön, aber der Stuhl daneben passt nicht.
The table is nice, but the chair next to it doesn't match.
next to it / off / additionally
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next to it
Indicates a position directly next to something or someone.
Der Tisch ist schön, aber der Stuhl daneben passt nicht.
The table is nice, but the chair next to it doesn't match.

off / inappropriate
Expresses that something is wrong, unsuitable, or inappropriate. Often used in the phrase 'sich daneben benehmen' (to behave badly).
Seine Bemerkung war wirklich völlig daneben.
His comment was really completely inappropriate.

besides / additionally
Means 'außerdem' (besides) or 'zusätzlich' (additionally) and refers to another activity or quality.
Er studiert Vollzeit und arbeitet daneben noch als Kellner.
He studies full-time and also works as a waiter on the side.
'Daneben' is a pronominal adverb made up of 'da' and the preposition 'neben' (next to). It literally means 'next to that' or 'next to it' and refers to something that was mentioned earlier.
Dort steht mein Auto. Stell deins einfach daneben.
My car is standing there. Just park yours next to it.
The meaning depends strongly on context. The literal meaning is spatial ('next to something'). The figurative meaning expresses a negative judgment ('inappropriate'). A third meaning connects clauses and means 'additionally'.
Mein Schlüssel liegt auf dem Tisch und dein Handy liegt daneben.
My key is on the table and your phone is next to it.
In the meaning of 'inappropriate' or 'wrong', 'daneben' is colloquial. The phrase 'sich daneben benehmen' (to behave badly) is especially common and criticizes bad behavior.
Er hat sich bei dem Treffen total daneben benommen.
He behaved really badly at the meeting.
there / with you
Dabei refers to an accompanying action that takes place at the same time as another action. Daneben names an additional activity or another area of work that does not have to be carried out at the same moment. Dabei fits an immediate secondary action, while daneben is more suitable for another regular occupation.

Nora arbeitet im Büro und gibt daneben regelmäßig Abendkurse.
Nora works in an office and also regularly teaches evening classes.
Nora arbeitet im Büro und hört dabei Musik.
Nora works in an office and listens to music while doing so.