Dopo la visita, scrivo nel quaderno che la fattoria è più tranquilla della città.

In Italian, dopo is normally followed by a noun with its article when you mean after the visit / after the appointment / after the tour.

• dopo la visita = after the visit
• dopo il pranzo = after lunch
• dopo la lezione = after the lesson

Saying dopo visita would sound incomplete in standard Italian.

Visita is a flexible word in Italian. Depending on context, it can mean:

• a visit
• a tour
• an appointment
• a medical examination/checkup

So dopo la visita could mean different things in different situations. In this sentence, you would understand it from the larger context.

Scrivo is the 1st person singular present of scrivere: I write.

Italian uses the present tense more broadly than English sometimes does. Depending on context, scrivo can mean:

• I write
• I am writing
• I write down

Here it can sound like a simple present statement or a narration of what the speaker does after the visit.

Italian often leaves out subject pronouns because the verb ending already shows who the subject is.

• scrivo = I write
• scrivi = you write
• scrive = he/she writes

So io scrivo is possible, but io is usually omitted unless you want emphasis or contrast.

Nel quaderno literally means in the notebook, but in Italian this is the normal way to say you write something in a notebook.

• scrivere nel quaderno = to write in the notebook
• scrivere sul foglio = to write on the sheet of paper

Italian often uses in with things like notebooks, diaries, and registers, where English might use in or on depending on wording.

Also, nel = in + il.

Here che means that and introduces a subordinate clause:

• scrivo nel quaderno che... = I write in the notebook that...

It connects the main clause to what is being written:

• main clause: scrivo nel quaderno
• subordinate clause: che la fattoria è più tranquilla della città

In English, that is sometimes optional, but in Italian che is very common and natural here.

Italian uses definite articles more often than English.

• la fattoria = the farm
• la città = the city

In comparisons, Italian usually keeps the article with the noun:

• più tranquilla della città = quieter than the city

Even where English might sometimes sound more general, Italian still often uses the article.

Because tranquilla must agree with la fattoria, which is a feminine singular noun.

• la fattoria → feminine singular
• adjective must match → tranquilla

Compare:

• il posto è più tranquillo = the place is quieter
• la fattoria è più tranquilla = the farm is quieter

This is the normal Italian pattern for a comparison of inequality:

• più + adjective + di/del/della + noun

So:

• più tranquilla della città = quieter than the city

Here della is di + la.

Other examples:

• più grande della casa = bigger than the house
• più interessante del libro = more interesting than the book

Because Italian combines many prepositions with articles into one word.

• di + la = della
• di + il = del
• di + lo = dello
• di + l’ = dell’

So della città is simply the correct contracted form of di la città.

È with an accent is the verb essere in the form is.

• è = is
• e = and

The accent is important because it distinguishes two different words:

• la fattoria è tranquilla = the farm is quiet
• la fattoria e la città = the farm and the city

Yes, Italian word order is fairly flexible, though some versions sound more natural than others.

The original sentence is very natural:

• Dopo la visita, scrivo nel quaderno che la fattoria è più tranquilla della città.

You could also say:

• Scrivo nel quaderno, dopo la visita, che la fattoria è più tranquilla della città.

But moving parts around can change the emphasis. The original order clearly sets the time first: After the visit...

Usually quaderno means a school-style notebook or exercise book. It is a very common everyday word.

Depending on context, English notebook could also be:

• taccuino = small notebook, pocket notebook
• agenda = planner/diary
• block notes = notepad

So quaderno is correct here, but it suggests a regular notebook rather than a tiny pocket notebook.