die Niederlassung
branch
A location, branch office, or branch of a company that is located somewhere other than the headquarters.
Die Bank eröffnet eine neue Niederlassung im Stadtzentrum.
The bank is opening a new branch in the city center.

branch / settlement
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branch
A location, branch office, or branch of a company that is located somewhere other than the headquarters.
Die Bank eröffnet eine neue Niederlassung im Stadtzentrum.
The bank is opening a new branch in the city center.

'Die Niederlassung' (branch / settlement) is the noun related to the separable verb 'sich niederlassen' (to settle down / to set up practice). This verb means to settle in a place or to begin a professional activity. This double meaning is also reflected in the noun.
Viele Ärzte lassen sich nach dem Studium auf dem Land nieder.
Many doctors settle in rural areas after their studies.
In a business context, 'Niederlassung' (branch) is often combined with verbs such as 'eröffnen' (to open), 'gründen' (to found), 'schließen' (to close), or 'leiten' (to manage). It always refers to a company's location.
Unser Unternehmen plant, eine neue Niederlassung in Berlin zu eröffnen.
Our company is planning to open a new branch in Berlin.
The meaning 'Gründung einer eigenen Praxis' (establishing one's own practice) is very specific. It is used almost exclusively for academic, liberal professions such as doctors, dentists, lawyers, or therapists.
Die Niederlassung als Facharzt erfordert eine spezielle Zulassung.
Setting up practice as a specialist requires special authorization.
The meaning 'Ansiedlung' (settlement) is used today mainly in formal or historical contexts when referring to the settlement of areas by groups of people.
Die Ausstellung dokumentiert die Niederlassung der Hugenotten in Preußen.
The exhibition documents the settlement of the Huguenots in Prussia.
daughter
'die Tochter' and 'die Niederlassung' can both refer to part of a larger company. Here, 'Tochter' means a subsidiary, that is, a company that belongs to a parent company and is usually legally independent. A 'Niederlassung' is mainly a company location somewhere other than the headquarters. The words can be confused because both appear in company news. If you are talking about the corporate structure, 'Tochter' is more appropriate. If you are talking about a location in a city or country, 'Niederlassung' is more natural.

Am Montag besucht Herr Kaya die neue Niederlassung in Köln.
On Monday, Mr. Kaya is visiting the new branch in Cologne.
Die Tochter in Österreich gehört seit Jahren zum selben Konzern.
The subsidiary in Austria has belonged to the same corporate group for years.