Sajdatut-Tilawah is a Sunnah
Question:
If I come across a Verse in which there is a prostration when I am reciting the Quran at my desk, or when I am teaching the students, or in any place, should I perform Sajdatut-Tilawah, or not? And is the prostration for the reciter and the listener both?
Answer:
Sajdatut-Tilawah is a Sunnah for the reciter and for the listener and it is not an obligation, nor is it prescribed for the listener except in following of the reciter. So if you recite a Verse in which there is a prostration in your office or the place of instruction, it is lawful for you to make prostration and it is prescribed for the students to prostrate with you, because they are the listeners. And if you do not observe the prostration, there is no objection.
Shaykh `Abdul-`Azeez Bin Baz
Fatawa Islamiyah Vol. 2 Page 282