Мы редко спорим друг с другом, потому что обычно быстро находим решение.

Спорить is the infinitive, meaning to argue / to dispute.

In the sentence, we need a finite verb that matches мы (we), so it becomes спорим:

• я спорю — I argue
• ты споришь — you argue
• мы спорим — we argue

So Мы редко спорим... means We rarely argue...

Because the sentence describes what we do in general, Russian uses the 1st person plural present tense form: спорим.

Редко means rarely, and it modifies the verb спорим.

In Russian, adverbs like редко, обычно, быстро often come before the verb, especially in neutral word order:

• Мы редко спорим — We rarely argue
• Мы обычно быстро находим решение — We usually quickly find a solution

You could move adverbs around for emphasis, but the version in your sentence sounds natural and neutral.

Друг с другом means with each other or one another.

It is a very common Russian expression used when two or more people do something mutually:

• говорить друг с другом — to talk to each other
• спорить друг с другом — to argue with each other
• помогать друг другу — to help each other

So here:

• Мы редко спорим друг с другом = We rarely argue with each other

Because the verb and preposition pattern requires it.

With спорить, Russian often uses с to express with someone:

• спорить с кем? — to argue with whom?

After с, Russian uses the instrumental case, so:

• друг becomes другом

That is why you get:

• друг с другом

Compare:

• Мы спорим друг с другом — We argue with each other
• Мы видим друг друга — We see each other

In the second example, there is no с, so the form changes.

Because the preposition с in the meaning with normally takes the instrumental case.

So:

• с братом — with my brother
• с подругой — with my female friend
• с другом — with a friend

In друг с другом, the second word follows that same rule:

• с другом → with each other

This is one of the most useful case patterns to remember:

• с + instrumental often means with

Because потому что introduces a subordinate clause meaning because.

Russian normally places a comma before потому что:

• Мы редко спорим друг с другом, потому что обычно быстро находим решение.

This works like English:

• We rarely argue with each other, because we usually find a solution quickly.

So the comma marks the beginning of the explanation.

Because the sentence describes a usual, repeated situation, not one specific completed event.

• находить = imperfective, used for repeated/habitual actions
• найти = perfective, used for a completed result

Here the meaning is:

• we usually find a solution quickly
• in other words, this is what generally happens

So Russian uses находим from находить.

Compare:

• Мы обычно быстро находим решение. — We usually find a solution quickly.
• Мы быстро найдём решение. — We will quickly find a solution.
• Мы быстро нашли решение. — We found a solution quickly.

A very important point: the present tense of a perfective verb like найти usually has future meaning, so найдём would mean we will find, not we find.

Решение is the direct object of находим.

The verb находить takes an object in the accusative case:

• находить что? — to find what?

For a neuter inanimate noun like решение, the accusative singular looks the same as the nominative singular:

• nominative: решение
• accusative: решение

So although it is functioning as an object, the form does not change.

They are related, but not identical.

• спорить = to argue, dispute, disagree verbally
• ссориться = to quarrel, have a falling-out, have a more personal conflict

So:

• Мы редко спорим друг с другом = We rarely argue with each other
• Мы редко ссоримся = We rarely quarrel / fall out

In your sentence, спорим fits well because the second part says they usually quickly find a solution. That sounds like a disagreement that gets resolved, not necessarily a serious quarrel.

They do different jobs:

• обычно = usually
  This tells you how often the action happens.
• быстро = quickly
  This tells you how the action happens.

So:

• обычно находим = we usually find
• быстро находим = we find quickly

Together:

• обычно быстро находим решение = we usually find a solution quickly

Yes. Russian word order is flexible.

These are all possible:

• Мы обычно быстро находим решение.
• Мы обычно находим решение быстро.
• Обычно мы быстро находим решение.

The version in your sentence is natural and neutral. It keeps the adverbs close to the verb and sounds smooth.

Changing the word order can change the emphasis slightly, but not the basic meaning.

Yes, often it can.

Russian verbs usually show the subject clearly, so спорим and находим already tell you the subject is we.

So these are both possible:

• Мы редко спорим друг с другом...
• Редко спорим друг с другом...

Including Мы can make the sentence a little clearer, more explicit, or slightly more contrastive. Omitting it can sound more conversational, depending on context.

No, but it is the most common and straightforward option.

Other possibilities exist, such as:

• так как
• поскольку

But потому что is the most neutral and common in everyday speech.

So your sentence uses the most natural choice for ordinary conversation:

• ..., потому что обычно быстро находим решение.

A very literal breakdown would be:

• Мы — we
• редко — rarely
• спорим — argue
• друг с другом — with each other
• потому что — because
• обычно — usually
• быстро — quickly
• находим — find
• решение — a solution / solution

So the structure is very close to English:

We rarely argue with each other, because we usually quickly find a solution.

More natural English would usually be:

We rarely argue with each other because we usually find a solution quickly.

The main stresses are:

• Мы рЕдко спОрИм друг с дрУгом, потомУ что обЫчно бЫстро нахОдИм решЕние.

Especially useful ones to remember:

• рЕдко
• спОрим
• потомУ что
• обЫчно
• бЫстро
• нахОдим
• решЕние

Stress matters in Russian, so it is worth learning words together with their stress whenever possible.