
das Geschäft
shop
A store or business premises where goods are sold or services are offered.
Ich muss noch schnell ins Geschäft, um Milch zu kaufen.
I still have to quickly go to the shop to buy milk.
shop / business
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shop
A store or business premises where goods are sold or services are offered.
Ich muss noch schnell ins Geschäft, um Milch zu kaufen.
I still have to quickly go to the shop to buy milk.

deal
A single commercial transaction or trade; an agreement between two or more parties.
Das war ein gutes Geschäft, wir haben viel Gewinn gemacht.
That was a good deal; we made a lot of profit.

business
The entirety of the commercial activities of a firm or company; the industry or sector.
Er ist schon seit 20 Jahren im Immobiliengeschäft tätig.
He has been working in the real estate business for 20 years.

to do one's business
A euphemistic expression for urinating or having a bowel movement.
Der Hund hat sein Geschäft mitten auf den Rasen gemacht.
The dog did its business right in the middle of the lawn.

business / affair
A matter or issue that needs to be dealt with. Often in the expression 'Das ist nicht dein Geschäft' (That is none of your business).
Misch dich nicht ein, das ist mein Geschäft.
Don't interfere; that's my business.
The word 'Geschäft' comes from the verb 'schaffen' (to manage/create/accomplish). It therefore refers to something that one 'schafft' (does or accomplishes)—whether a trade, work in a shop, or another activity.
Er hat es geschafft, ein erfolgreiches Geschäft aufzubauen.
He managed to build a successful business.
The plural 'die Geschäfte' can be ambiguous. It can mean 'shops' or 'business activities/transactions'. The context makes clear what is meant: 'Die Geschäfte in der Innenstadt' refers to shops, while 'Die Geschäfte laufen gut' refers to economic success.
Am Sonntag sind die Geschäfte in Deutschland geschlossen.
On Sundays, the shops in Germany are closed.
When 'Geschäft' means a shop, it is often combined with the verbs 'führen' (to run), 'eröffnen' (to open), or 'schließen' (to close). Movement toward a shop is expressed with 'ins Geschäft gehen' (to go to the shop).
Sie führt ein kleines Geschäft für Bioprodukte.
She runs a small shop for organic products.
In the meaning 'trade' or 'transaction', the typical verbs are 'ein Geschäft machen' (to make a deal) or 'ein Geschäft abschließen' (to close a deal). It is often combined with adjectives such as 'gut' (good) or 'schlecht' (bad).
Mit dem Verkauf des alten Autos hat er ein gutes Geschäft gemacht.
He made a good deal by selling the old car.
The expression 'im Geschäft sein' means to work professionally in a particular industry or sector. It is often combined with the name of the industry, e.g. 'im Musikgeschäft' (in the music business).
Mein Onkel ist seit über 30 Jahren im Autogeschäft.
My uncle has been in the car business for over 30 years.
The expression 'sein Geschäft machen/verrichten' is a euphemism, meaning a softened way to describe going to the toilet. It is used to address the topic indirectly and less bluntly.
Wir müssen kurz anhalten, der Hund muss mal sein Geschäft machen.
We need to stop briefly; the dog needs to do its business.
company / firm
A Firma is the business organization that offers goods or services. A Geschäft here is the specific store where customers buy something. In the case of a small company, the two can be closely connected; Firma refers to the organization, while Geschäft refers to the store.

Das Geschäft der Firma öffnet jeden Morgen um neun Uhr.
The company's store opens at nine every morning.
Die Firma betreibt seit zehn Jahren einen kleinen Laden für Fahrräder.
The company has been running a small bicycle shop for ten years.