I den her afdeling finder vi maling og pensler til stuen.

Because Danish normally puts the finite verb in the second position in a main clause.

Here, the sentence begins with I den her afdeling. That whole phrase counts as the first element, so the verb must come next:

I den her afdeling + finder + vi ...

This is a very common Danish pattern. Compare:

• Vi finder maling her.
• Her finder vi maling.

In English, we usually keep we find, but Danish changes the order when something else comes first.

Den her means this.

So:

• den her afdeling = this department / this section

It is a very common everyday way to say this before a common-gender noun.

You can compare:

• den her afdeling = this section
• denne afdeling = this section

Both are correct, but den her usually sounds more conversational, while denne can sound a bit more formal or written.

Because afdeling is a common-gender noun in Danish.

Danish has two grammatical genders:

• common gender → takes en, den
• neuter → takes et, det

Since it is:

• en afdeling

it becomes:

• den her afdeling

If the noun were neuter, you would use det her instead.

Because i means in, and afdeling here means a section or department, especially in a shop or store.

So i den her afdeling means:

• in this department
• in this section

That is the natural preposition when talking about being inside a part of a store or category area.

Grammatically, yes: vi means we.

But in context, Danish sometimes uses we a bit more loosely than English does. It can sound inclusive, like speaker and listener are looking together:

• I den her afdeling finder vi ...
  = In this section we find ...

In very natural store language, you might also hear:

• Her finder du ... = Here you find / Here you can find ...
• Vi har ... = We have ...

So vi is literally we, but the tone can be more general or guiding than strictly literal.

Because maling is usually an uncountable noun, like paint in English.

So Danish often uses it with no article when speaking generally:

• maling = paint
• vi finder maling = we find paint

If you wanted to refer to a specific type or amount, you could add more words, for example:

• en maling is generally not the normal basic way to say paint
• but you could say something like en slags maling = a kind of paint

So in this sentence, no article is needed.

Because it is talking about brushes in general, not a specific set already known to the listener.

So:

• pensler = brushes

This is similar to English, where we can say:

• We sell paint and brushes

without saying the brushes.

If Danish wanted to mean specific brushes, it could say:

• penslerne = the brushes

But here the sentence just means the section contains that kind of item.

Because til means for, not in.

• til stuen = for the living room
• i stuen = in the living room

So the sentence is talking about purpose or intended use:

• paint and brushes for the living room

not location:

• paint and brushes in the living room

That is an important difference.

Stuen is the definite singular form of stue.

• en stue = a living room
• stuen = the living room

In this sentence, it refers to a specific living room, probably the one in the home being discussed. So Danish uses the definite form:

• til stuen = for the living room

If you said til en stue, that would sound more like for a living room in a general, nonspecific sense.

Here, afdeling means something like:

• department
• section
• area

In a store context, afdeling often refers to one part of the shop that contains a certain category of products.

So I den her afdeling is very naturally understood as:

• In this section of the store
• In this department

Yes. The whole phrase is definite because of den her.

In Danish, when you use a demonstrative like den her, the noun itself usually stays in its basic singular form:

• den her afdeling = this section

You do not say:

• den her afdelingen

So even though afdeling does not have the definite ending, the phrase is still definite because den her already does that job.