The Prophet ﷺ explained the high significance of Sajdah-e-Tilawat in the following way:
“Once, a person prostrates himself after reading a verse requiring the performance of sajdah, the shaitan starts crying and wailing in a corner, saying: ‘Alas! The children of Adam were enjoined to perform sajdah and they carried it out, and become entitled to enter Paradise, but I refused to do so and was condemned to Hell.’” (Muslim and Ibn Majah)
When reciting or listening to the Qur’an and on reaching any of these Aayaat it is Wajib to perform a single Sajdah. Although it is preferred to do this immediately, one can also perform them together or at a later time but as soon as possible.
To understand better why we perform Sajdah-e-Tilawat (prostration) after reading verses from the Quran, lets take a look at some translations from the Holy Quran of such verses:
“O ye who believe! bow down, prostrate yourselves, and adore your Lord; and do good; that ye may prosper.”
“They fall down on their faces in tears, and it increases their (earnest) humility.”
“God!- there is no god but He!- Lord of the Throne Supreme!”
“Nay, heed him not: But bow down in adoration, and bring thyself the closer (to Allah)!”
According to Hanafi sect there are 14 sajdahs in Quran:

Juzz (chapter) Surah Ayat (verse)
9 Al Araf 206
13 Al Ra’d 15
14 Al Nahl 50
15 Al Israeel 109
16 Al Maryam 58
18 Al Hajj 18
19 Al Furqaan 60
19 Al Naml 26
21 Al Sajdah 15
23 Sa’ad 24
24 Al Haamim Sajdah 38
27 Al Najm 62
30 Al Inshiqaq 21
30 Al Alaq 19

The same conditions regarding Tahaarat, Wudhu apply. Note: Sajda-e-Tilawat or sajdahs performed during Salah, is not allowed during sunrise, noon, and sunset.
How to Perform Sajda-e-Tilawat
1. Stand facing the Qiblah
2. Make intention for Sajda-e-Tilawat
3. Without raising your hands, go into Sajdah saying Allahu-Akbar
4. Read: Subhaana Rabbiyal A’ala 3 times
5. Rise with Allahu-Akbar
6. Go straight back into Sajdah and continue until 14 sajdahs are complete, then after the last sajdah, do salam as you would for Salaah.
You may also peform Sajdah-e-Tilawat sat down if necessary, however standing is most preferred.
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By sulta