La tutora dice que, para dividir sin errores, primero conviene multiplicar despacio y revisar el resultado.

Tutora is the feminine form of tutor. In Spain, tutor/a can mean a tutor, mentor, or a teacher responsible for a particular student group or class.

It is feminine here because the sentence is referring to a female person, so Spanish uses:

• el tutor = a male tutor
• la tutora = a female tutor

The article also changes to match:

• la tutora
• el tutor

Dice que is a very common structure meaning says that.

• dice = he/she says
• que = that

So La tutora dice que... is literally The tutor says that...

In Spanish, que is often used after verbs of saying, thinking, believing, etc.:

• Dice que es fácil. = She says that it is easy.
• Creo que sí. = I think so / I think that yes.
• Piensan que no. = They think that not / They think not.

In English, that is often omitted, but in Spanish que is normally kept.

The commas mark that phrase as a kind of inserted explanation or frame: as for dividing without mistakes or to divide without mistakes.

The core sentence is:

• La tutora dice que primero conviene multiplicar despacio y revisar el resultado.

The part para dividir sin errores adds context about the purpose. Because it is inserted in the middle, commas help separate it.

You could also see similar punctuation in Spanish with inserted phrases like:

• Dice que, en realidad, no es difícil.
• Creo que, con paciencia, todo sale mejor.

So the commas are not changing the basic grammar; they are mainly helping the reader follow the sentence.

After para, Spanish normally uses the infinitive when the subject stays general or is not explicitly changed.

So:

• para dividir = to divide
• para aprender = to learn
• para estudiar = to study

This is very similar to English to + verb.

You do not use a conjugated form directly after para in this kind of structure.

Examples:

• Para cocinar bien, hace falta práctica. = To cook well, practice is needed.
• Para entender esto, hay que leer más. = To understand this, you have to read more.

Sin errores means without errors / without mistakes in a general sense.

Spanish often uses a noun without an article after sin when speaking generally:

• sin miedo = without fear
• sin prisa = without hurry
• sin problemas = without problems
• sin errores = without errors

Using los errores would sound much more specific, as if referring to particular known errors. Here the idea is general, so sin errores is the natural choice.

Sin error is grammatically possible in some contexts, but sin errores sounds more natural here because people usually make multiple possible mistakes in a process like division.

Primero means first. It shows the order of actions.

Here it tells you what should happen before something else:

• primero conviene multiplicar despacio
• then revisar el resultado

So it is organizing the advice step by step.

You will often see primero with instructions:

• Primero, lee la pregunta.
• Primero hay que sumar.
• Primero conviene comprobar los datos.

Conviene here means something like:

• it is advisable
• it is a good idea
• it is best
• it is convenient / suitable

So conviene multiplicar despacio means it is best to multiply slowly or it is advisable to multiply slowly.

This is softer than a direct command. It gives advice rather than an order.

Compare:

• Debes multiplicar despacio. = You must / should multiply slowly.
• Conviene multiplicar despacio. = It is advisable to multiply slowly.

Both patterns exist, but they are used differently.

1. Conviene + infinitive

   • Conviene multiplicar despacio.
   • More general and impersonal
   • Sounds like general advice

2. Conviene que + subjunctive

   • Conviene que multipliques despacio.
   • More directly aimed at a specific person
   • Literally: It is advisable that you multiply slowly

In your sentence, conviene multiplicar despacio y revisar el resultado is broad, general advice about how to do division correctly.

Because they both depend on conviene.

The structure is:

• conviene + infinitive
• conviene + infinitive + y + infinitive

So:

• conviene multiplicar
• conviene revisar
• conviene multiplicar despacio y revisar el resultado

In English, this works similarly:

• It is advisable to multiply slowly and check the result.

Spanish does not need to repeat conviene before the second verb.

Despacio is a very common adverb meaning slowly.

• despacio = slowly
• lentamente = slowly, but often a bit more formal or literary
• lento is an adjective, not the adverb form

So:

• multiplicar despacio = correct
• multiplicar lentamente = also correct
• multiplicar lento = not standard in careful Spanish

A useful contrast:

• Va despacio. = He/She goes slowly.
• Es lento. = He/She/It is slow.

Spanish uses articles more often than English. Here el resultado means the result, referring to the result of the multiplication/checking process.

Even when English might say check result in note form, normal Spanish usually wants the article:

• revisar el resultado
• comprobar la respuesta
• mirar el ejercicio

Without the article, revisar resultado would sound incomplete or unnatural in standard Spanish.

There is no specific personal subject like yo, tú, or ella. This is an impersonal use.

Conviene is often used impersonally to express what is advisable:

• Conviene estudiar más. = It is advisable to study more.
• No conviene esperar. = It is not advisable to wait.

So in your sentence, conviene does not mean he/she suits or something like that. It means it is advisable in a general sense.

Yes, Spanish allows some flexibility in word order.

Your sentence has:

• primero conviene multiplicar despacio

But these are also possible:

• conviene primero multiplicar despacio
• conviene multiplicar primero despacio y revisar el resultado (less natural because despacio is then placed oddly)
• primero, conviene multiplicar despacio

The original order sounds natural because primero clearly introduces the first recommended action before conviene.

Spanish often moves adverbs like primero, siempre, ya, or también for emphasis or rhythm.

Dice is the present tense of decir: she says.

Spanish often uses the present tense to report what someone says when the statement is still relevant now. It can sound very natural in explanations, lessons, or summaries.

• La tutora dice que... = The tutor says that...
• El profesor explica que... = The teacher explains that...
• Mi madre dice que estudie más. = My mother says I should study more.

If you wanted to place it clearly in the past, you could say:

• La tutora dijo que... = The tutor said that...

They are related, but not always identical.

• revisar = to review, check, inspect
• comprobar = to verify, check, confirm
• repasar = to go over again, review

In this sentence, revisar el resultado means check the result.

Possible alternatives:

• comprobar el resultado = verify the result
• repasar el resultado = go over the result again

Revisar is a very natural choice because it suggests checking carefully for mistakes.