Hun skrubber gryden med varmt vand, fordi maden sidder fast.

Hun is the subject form of she, so it is used because she is the one doing the action.

• hun = she
• hende = her

In this sentence, Hun skrubber ... means She scrubs ..., so the subject form is required.

Skrubber means scrubs.

It is the present tense of the verb at skrubbe = to scrub.

Examples:

• jeg skrubber = I scrub
• hun skrubber = she scrubs
• vi skrubber = we scrub

In Danish, the present tense often ends in -r.

Gryden means the pot, while gryde means a pot or just pot.

Danish usually adds the definite article to the end of the noun:

• en gryde = a pot
• gryden = the pot

So Hun skrubber gryden means She is scrubbing the pot, not just a pot.

For the same reason as gryden:

• mad = food
• maden = the food

The sentence is talking about specific food that is stuck to the pot, so Danish uses the definite form maden.

Varmt is the adjective varm in a form that agrees with vand.

• varm = warm
• varmt vand = warm water

This -t is commonly used with neuter nouns or in certain fixed expressions. Since vand is a neuter noun (et vand in grammatical terms, though usually used as an uncountable noun), the adjective becomes varmt.

Compare:

• en varm gryde = a warm pot
• et varmt bad = a warm bath
• varmt vand = warm water

Because the sentence means with warm water, not with the warm water.

In Danish, when you mean something in a general or nonspecific way, you often use the noun without a separate article:

• med varmt vand = with warm water
• med koldt vand = with cold water

If you wanted to say with the warm water, you would need a different structure, for example:

• med det varme vand

But that would sound more specific.

Sidder fast is a very common Danish expression meaning is stuck or is stuck fast.

Literally:

• sidder = sits
• fast = fast / firmly

But together, sidder fast means that something is attached, trapped, or difficult to remove.

Examples:

• Døren sidder fast. = The door is stuck.
• Maden sidder fast. = The food is stuck.

So this is an idiomatic expression, not something you should translate word for word.

Yes. Fordi means because, and it introduces a subordinate clause.

In Danish subordinate clauses, the word order can differ from main clauses, especially when there is an adverb like ikke or altid.

Here, the clause is:

• fordi maden sidder fast = because the food is stuck

This one looks simple because there is no adverb changing the order. But compare:

• Maden sidder ikke fast. = The food is not stuck.
  Main clause: verb before ikke
• ... fordi maden ikke sidder fast. = ... because the food is not stuck.
  Subordinate clause: ikke comes before the verb

So fordi is an important signal that you are entering a subordinate clause.

Because Danish normally uses a comma before a subordinate clause introduced by a word like fordi.

So:

• Hun skrubber gryden, fordi maden sidder fast.

This comma is standard in Danish writing.

English sometimes feels less strict about commas in similar sentences, but in Danish this comma is very normal.

Med means with.

In this sentence, it shows the means or tool used to do the action:

• Hun skrubber gryden med varmt vand.
• She scrubs the pot with warm water.

So med does not mean she is together with the warm water; it means she is using warm water.

Possibly, depending on context, but gryde most directly means pot.

A few related kitchen words:

• gryde = pot
• pande / stegepande = pan / frying pan

So if the original Danish says gryden, the pot is the safest translation.

A learner often notices that the d in these words is not pronounced like a strong English d.

Very roughly:

• gryden sounds something like GRY-thən or GRY-yen, depending on accent and how carefully someone speaks
• maden sounds something like MA-thən or MAY-then, again very roughly

Important points:

• Danish soft d is much softer than English d
• the final -en in definite nouns is often reduced in natural speech

You do not need a perfect pronunciation right away, but it helps to know that the written d is often much softer than expected.

Usually, sidder fast is the natural expression when something is physically stuck.

• Maden sidder fast. = The food is stuck.

Using er fast would not sound natural here. Danish prefers sidde fast for things that are attached or stuck to something.

So this is a phrase worth learning as a whole:

• at sidde fast = to be stuck

The structure is:

• Hun = subject
• skrubber = verb
• gryden = object
• med varmt vand = prepositional phrase
• fordi maden sidder fast = subordinate clause giving the reason

So the pattern is:

Subject + verb + object + extra information + reason

That makes this a very useful model sentence for everyday Danish:

• Han vasker bilen med sæbe, fordi den er beskidt.
• She scrubs the pot with warm water, because the food is stuck.