
der Schritt
step
A single movement of the foot when walking or running.
Er machte einen vorsichtigen Schritt auf dem glatten Eis.
He took a careful step on the slippery ice.
step
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step
A single movement of the foot when walking or running.
Er machte einen vorsichtigen Schritt auf dem glatten Eis.
He took a careful step on the slippery ice.

step
A single action or measure as part of a larger process or plan.
Der nächste logische Schritt ist die Kontaktaufnahme mit dem Hersteller.
The next logical step is to contact the manufacturer.

step by step
A fixed expression meaning that you proceed slowly and in stages.
Wir werden das Problem Schritt für Schritt lösen.
We will solve the problem step by step.

to keep pace with
A fixed expression meaning to keep up with someone or something and not fall behind.
Es ist schwierig, mit dem rasanten technologischen Fortschritt Schritt zu halten.
It is difficult to keep pace with rapid technological progress.

gait / pace
The way or speed with which someone walks; the gait.
An ihrem eiligen Schritt erkannte ich, dass sie es eilig hatte.
I could tell from her hurried pace that she was in a hurry.
You can recognize the meaning of 'Schritt' (step) from the context. If it is about movement with the feet, the literal meaning is intended. If it is about plans, projects, or processes, it means an action or measure.
Sie machte einen großen Schritt nach vorn.
She took a big step forward.
In the figurative meaning, 'Schritt' (step) is often combined with adjectives like 'wichtig' (important), 'logisch' (logical), or 'entscheidend' (decisive). Typical verbs are 'einen Schritt machen' (to take a step), 'unternehmen' (to take), or 'einleiten' (to initiate).
Das war ein entscheidender Schritt für den Erfolg des Projekts.
That was a decisive step for the success of the project.
The expression 'Schritt für Schritt' (step by step) functions like an adverb and describes that something is done slowly and systematically. It often stands near the verb it describes.
Lass uns die Anleitung Schritt für Schritt durchgehen.
Let's go through the instructions step by step.
The expression 'Schritt halten' (to keep pace) is always used with the preposition 'mit' (with) and the dative. It describes keeping up with the pace or development of someone or something.
Die kleine Firma kann mit den großen Konzernen nicht Schritt halten.
The small company cannot keep pace with the large corporations.
In the literal sense, 'Schritt' (step) is often combined with verbs of movement. Common expressions are 'einen Schritt machen' (to take a step), 'einen Schritt wagen' (to dare to take a step), or 'einen Schritt zurücktreten' (to take a step back).
Er wagte einen Schritt auf die wackelige Brücke.
He dared to take a step onto the shaky bridge.
To describe the manner of walking, you can use a genitive construction, e.g. 'schnellen Schrittes' (with quick steps) or 'leisen Schrittes' (with quiet steps). This is a rather elevated, written style.
Er verließ schnellen Schrittes den Raum.
He left the room with quick steps.
action / sale
Schritt and Aktion can both refer to a deliberate action carried out as part of an undertaking. Schritt places the action within a sequence as one stage, while Aktion emphasizes the deliberate act or undertaking more strongly. Schritt fits a plan, while Aktion is more suitable for an act that is meant to be highlighted.

Die Prüfung der Unterlagen ist der nächste Schritt in unserem Plan.
Reviewing the documents is the next step in our plan.
Die gemeinsame Aktion soll viele Menschen auf das Problem aufmerksam machen.
The joint action is intended to draw many people's attention to the problem.