Compulsory adverbials are usually at the end of the sentence. With compound verbs, the adverbial directly precedes the second part of the predicate, in other words the participle or infinitive.

Examples:
Ostrowski wohnt in Bochum.
Er wollte in den Zoo gehen.
Ich habe das Gras ins Elefantengehege gelegt.

For non-compulsory adverbials, the word order can vary. A basic rule of thumb is:

1. Non-compulsory adverbials usually precede compulsory adverbials.

2. For non-compulsory adverbials, the order is usually time-reason-place-manner.

But often there are deviations from this when a sentence contains several non-compulsory adverbials.

For extra emphasis, all adverbials can be placed at the beginning of the sentence.

Examples:
Zuerst sehen wir bei den Elefanten nach.
Bei den Elefanten sehen wir zuerst nach.