В гардеробе я долго искал свой номерок, а сестра нашла свой сразу.

Because this sentence describes location, not movement.

• в гардеробе = in the cloakroom / at the checkroom
• After в, when you mean where?, Russian usually uses the prepositional case
• If it meant movement into the cloakroom, you would use в гардероб instead

So here:

• В гардеробе = In the cloakroom
• question: где? = where?

Here гардероб means a cloakroom, checkroom, or coat check — the place where you leave coats or bags in a theater, museum, school, etc.

It does not mean wardrobe in the English furniture sense here.

So В гардеробе is most naturally understood as:

• At the coat check
• In the cloakroom

Номерок is the small number token / claim ticket / check tag you get when you leave something in a cloakroom.

It comes from номер (number), with the diminutive suffix -ок.

So номерок often suggests a small numbered object, not just an abstract number.

In this sentence, it is the ticket used to get back your coat or belongings.

These are two different past-tense verbs:

• искал = was looking for / looked for
• нашла = found

Also, Russian past tense agrees with gender:

• я долго искал means the speaker is male
• if the speaker were female, it would be я долго искала
• сестра нашла is feminine because сестра is feminine

So the sentence tells us:

• the speaker is male
• the sister is female

Yes, this is strongly connected to verb aspect.

• искал is imperfective: it focuses on the process of searching
• нашла is perfective: it focuses on the result — she found it

That matches the meaning very naturally:

• долго искал = searched for a long time
• нашла сразу = found it immediately

Russian often uses:

• imperfective for ongoing action, repeated action, or process
• perfective for a completed result

So this contrast is very typical and expressive.

долго means for a long time.

It is an adverb modifying искал:

• я долго искал = I searched for a long time

This fits especially well with the imperfective verb искал, because imperfective often highlights duration or process.

Compare the contrast in the sentence:

• долго = for a long time
• сразу = immediately / right away

So the sentence is built around a clear opposition: I searched for a long time, but my sister found hers immediately.

Russian often uses свой to mean one’s own, referring back to the subject of the clause.

So:

• я искал свой номерок = I was looking for my own ticket
• сестра нашла свой = my sister found her own one

This is very natural in Russian. Using мой or её here would usually be less natural, and in some contexts could even create ambiguity.

A helpful rule:

• if the possessor is the subject of the same clause, Russian often prefers свой

Examples:

• Я люблю свою работу = I love my job
• Она взяла свою сумку = She took her bag

Because свой does not mean specifically my, your, his, or her. It means one’s own, and its reference depends on the subject of the clause.

In the first clause:

• я ... искал свой номерок
• subject = я
• so свой = my own

In the second clause:

• сестра нашла свой
• subject = сестра
• so свой = her own

This is one of the most important things to understand about свой.

Because Russian often omits a noun when it is easily understood from context.

In the second clause:

• сестра нашла свой
• literally: my sister found hers / her own one

The noun номерок is omitted because it is already clear from the first clause.

English does something similar:

• I looked for my ticket, and my sister found hers right away.

Russian simply leaves номерок understood.

It is in the accusative case, because it is the direct object of искал.

• dictionary form: свой номерок
• accusative singular masculine inanimate: свой номерок

For masculine inanimate nouns, the accusative often looks the same as the nominative.

So:

• nominative: свой номерок
• accusative: свой номерок

In the second clause, свой is also accusative, with the noun omitted.

А often marks contrast or comparison, even when both parts are true.

Here the sentence contrasts two situations:

• I searched for a long time
• my sister found hers immediately

So а works very well:

• ..., а сестра ... = ..., while my sister ... / but my sister ...

If you used и, it would sound more like simple addition: and my sister found hers immediately

But а highlights the difference between the two experiences.

Сразу means immediately, right away, or at once.

So:

• сестра нашла свой сразу = my sister found hers immediately

It contrasts with долго:

• долго = for a long time
• сразу = right away

That contrast is a key part of the sentence’s meaning and style.

Yes, Russian word order is flexible.

This version puts В гардеробе first to set the scene:

• В гардеробе я долго искал свой номерок...
• In the cloakroom, I searched for my ticket for a long time...

Other word orders are possible, for example:

• Я долго искал свой номерок в гардеробе...

That is also grammatical, but it sounds a little different in emphasis.

Russian often moves elements forward for topic, setting, or emphasis. Starting with В гардеробе makes the location the opening frame of the sentence.

Yes.

In the past tense, Russian verbs agree with gender in the singular:

• я искал = I searched, spoken by a male
• я искала = I searched, spoken by a female

So from искал, we know the speaker is male.

This is something English does not show, so it is often very noticeable to English-speaking learners.

Not usually in natural English.

Although it comes from номер (number), in this context номерок means the ticket/token/tag with a number on it.

So better translations are:

• ticket
• claim ticket
• check tag
• cloakroom token

A literal translation as number would sound unnatural in English unless the context were already very clear.