Naš stan je dalje od škole nego vaša kuća.

Because dalje is the normal comparative form used for physical distance in sentences like this.

• daleko = far
• dalje = farther / further

So:

• Stan je daleko. = The apartment is far.
• Stan je dalje od škole. = The apartment is farther from the school.

By contrast, dalji (or daljnji) is usually an adjective meaning further, additional, or subsequent, not the usual word for simple distance in this kind of sentence.

For example:

• daljnji koraci = further steps
• u daljnjem tekstu = later in the text

So in your sentence, dalje is the natural choice.

Because the preposition od requires the genitive case, and the genitive singular of škola is škole.

• škola = school
• od škole = from the school

This is very common in Croatian:

• blizu škole = near the school
• daleko od škole = far from the school
• dalje od škole = farther from the school

So škole is there because of the preposition od.

Here, od means from, not than.

That matters because Croatian uses od in two different ways:

1. with distance/location, meaning from

   • daleko od škole = far from the school

2. with some comparisons, where it can mean than

   • veći od mene = bigger than me

In this sentence, od škole clearly belongs to the idea of distance:

• dalje od škole = farther from the school

The word that means than in this sentence is nego.

Nego introduces the second part of the comparison: than.

The sentence compares:

• Naš stan = our apartment with
• vaša kuća = your house

So the structure is:

• Naš stan je dalje od škole nego vaša kuća.
• Our apartment is farther from the school than your house.

A more expanded English version would be:

• Our apartment is farther from the school than your house is.

So nego is the comparison word linking the two things being compared.

Because vaša kuća is the subject of an implied second clause.

The full idea is:

• Naš stan je dalje od škole nego vaša kuća je.

In natural Croatian, the second je is often omitted, just like English often omits is in than your house.

So vaša kuća stays in the nominative because it is effectively the subject of that understood clause.

This is an important distinction:

• nego vaša kuća = than your house is
• od vaše kuće = from your house

Those are not the same meaning.

Croatian often leaves out repeated words when the meaning is obvious.

So:

• Naš stan je dalje od škole nego vaša kuća.

is understood as something like:

• Naš stan je dalje od škole nego vaša kuća je.
• or more fully, ...nego što je vaša kuća.

The second verb is omitted because it would just repeat information that is already clear.

English does something similar:

• Our apartment is farther from the school than your house.
• really meaning ...than your house is.

Because Croatian possessive words agree with the noun they describe in gender, number, and case.

Here:

• stan is masculine singular nominative
  → naš stan = our apartment

• kuća is feminine singular nominative
  → vaša kuća = your house

So the endings change to match the noun.

A few examples:

• naš stan = our apartment
• naša kuća = our house
• naše škole = our schools

And similarly:

• vaš stan
• vaša kuća
• vaše škole

So the difference is grammatical agreement.

Because Croatian does not have articles like English a and the.

So škola can mean:

• school
• a school
• the school

The exact meaning comes from context.

In your sentence, the intended meaning is clearly the school, but Croatian does not need a separate word for that.

This is normal throughout the language:

• Imam knjigu. = I have a book / the book.
• Kuća je velika. = The house is big / A house is big, depending on context.

Croatian word order is fairly flexible, but the version you have is the most neutral and natural:

• Naš stan je dalje od škole nego vaša kuća.

You may also hear variations for emphasis, such as:

• Naš je stan dalje od škole nego vaša kuća.

This puts a little more focus on naš stan.

However, beginners should usually stick with the neutral order unless they have a specific reason to change it. Croatian word order often changes to show emphasis, contrast, or style, not basic meaning.

Yes, but it would sound more formal or less everyday in this context.

• dalje od škole = farther from the school
• udaljeniji od škole = more distant from the school

Both are understandable, but dalje is the more natural everyday choice for simple physical distance.

So for normal conversation, your sentence is better as:

• Naš stan je dalje od škole nego vaša kuća.

Not in this sentence as it stands.

Croatian sometimes uses od after comparatives:

• stariji od mene = older than me
• veći od kuće = bigger than the house

But in your sentence, od škole already means from the school, so using another od would either sound awkward or create a different meaning.

Here you need:

• od škole = from the school
• nego vaša kuća = than your house

So nego is the correct comparison word here.

A helpful literal breakdown is:

• Naš stan = our apartment
• je = is
• dalje = farther
• od škole = from the school
• nego vaša kuća = than your house

So the sentence is built like this:

subject + is + comparative of distance + reference point + thing compared

In other words:

• Our apartment
• is farther
• from the school
• than your house (is).

That is the grammar pattern you can reuse in many similar sentences.