stolpern
to stumble
To catch your foot on an obstacle while walking or running and thereby lose your balance or fall.
Im Dunkeln bin ich über eine Teppichkante gestolpert.
In the dark, I stumbled over the edge of a carpet.

to stumble
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to stumble
To catch your foot on an obstacle while walking or running and thereby lose your balance or fall.
Im Dunkeln bin ich über eine Teppichkante gestolpert.
In the dark, I stumbled over the edge of a carpet.

The perfect tense of 'stolpern' (to stumble) is always formed with the auxiliary verb 'sein' (to be), because it describes an uncontrolled movement or a change of state. So it is 'ich bin gestolpert' (I stumbled), not 'ich habe gestolpert'.
Pass auf, ich bin gestern an der gleichen Stelle gestolpert.
Be careful, I stumbled in the same spot yesterday.
In all meanings, 'stolpern' (to stumble) is almost always used with the preposition 'über' (over/across) and the accusative. This structure indicates what you get caught on, what you find by chance, or which word causes difficulty.
Er ist über ein Kabel gestolpert.
He stumbled over a cable.
You can recognize the figurative meaning 'etwas zufällig finden' (to find something by chance) from the context. The object that you 'stolpert' over is not a physical obstacle here, but often a piece of information, an object, or a person that you discover unexpectedly.
Beim Stöbern in der Bibliothek bin ich über ein faszinierendes Buch gestolpert.
While browsing in the library, I stumbled across a fascinating book.
When it comes to speaking, 'stolpern' (to stumble) is often used in phrases like 'über seine eigenen Worte stolpern' (to stumble over one's own words) or 'beim Vorlesen stolpern' (to stumble while reading aloud). It describes a brief interruption or a small mistake in the flow of speech.
Der Redner war nervös und stolperte mehrmals über seine eigenen Worte.
The speaker was nervous and stumbled over his own words several times.
to find
'finden' and 'über etwas stolpern' can both mean that you discover something. 'finden' is neutral and works both when you are searching and when something happens by chance. 'über etwas stolpern' is figurative and puts more emphasis on the discovery being unexpected. It often sounds a bit more casual and works well when you come across a piece of information, an idea, or an offer by chance. For ordinary things like keys or an address, 'finden' is usually simpler and more natural.

Bei der Suche nach einem Geschenk stolpert die Mitarbeiterin über eine interessante Veranstaltung.
While looking for a gift, the employee stumbles across an interesting event.
Nach der Arbeit findet Tom endlich die Datei für den Kurs.
After work, Tom finally finds the file for the course.