durch
through
Describes movement from one side of an object or space to the other.
Wir sind mit dem Fahrrad durch den Tunnel gefahren.
We rode our bikes through the tunnel.

through / by
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through
Describes movement from one side of an object or space to the other.
Wir sind mit dem Fahrrad durch den Tunnel gefahren.
We rode our bikes through the tunnel.

The preposition 'durch' always requires the accusative. No matter which meaning it is used in, the following noun or pronoun is in the accusative.
Er schaut durch das Fenster.
He looks through the window.
You can often recognize the spatial and causal meanings from the noun. If 'durch' refers to a place (e.g., city, door), it is about movement. If it refers to an abstract concept (e.g., chance, work), it is about the cause or means.
Sie liefen durch den Wald.
They ran through the forest.
'Durch' can also be a separable prefix. In verbs like 'durchlesen' (to read through) or 'durcharbeiten' (to work through), it often means carrying out an action completely from beginning to end.
Bitte lies den Vertrag sorgfältig durch.
Please read the contract through carefully.
In passive sentences, 'durch' is used to name the cause or means of an action. It often refers to impersonal forces, events, or intermediaries.
Viele Häuser wurden durch das Erdbeben zerstört.
Many houses were destroyed by the earthquake.
The expression 'mit etwas durch sein' is colloquial and means 'to be finished with something'. The person who is finished appears at the beginning of the sentence.
Ich bin für heute mit meinen Aufgaben durch.
I’m done with my tasks for today.
from / of
'von' and 'durch' can both explain in passive sentences why something happens or by whom it is done. 'von' usually names the person acting or a specific body or office: someone does something. 'durch' more often names the means, the path, or a cause, especially when no single person is the focus. Learners confuse them because both can appear after a passive construction. Practical tip: ask yourself whether you want to name the person or agent doing the action. Then 'von' often fits. If you mean the cause or the means, 'durch' often fits.

Durch den starken Regen wurde die Straße gesperrt.
The road was closed because of the heavy rain.
Der Brief wurde von Frau Müller unterschrieben.
The letter was signed by Ms. Müller.