Wrong, no such reference in the Quran. The split is based on Hadith mostly.
Ahlul Bayt have been delineated in the Quran (Surah 33, Ayah 33) and purified by Allah (Most High) from sin, religious error, or forgetfulness (Ismah). Ahlul Bayt consist of Muhammad (pbuh), his daughter Fatima, his son-in-law and cousin Ali, and his two grandchildren Al-Hasan and Al-Husain. And of the progeny of Al-Husain are the nine designated Imams: Zainul Abideen, Al-Baaqir, Al-Saadiq, Al-Kadhim, Al-Ridha, Al-Taqi, Al-Haadi, Al-Askari, and Al-Mahdi —may peace be with them all.
QURAN PURIFIES AHLUL BAYT: التطهير
Al‑Ahzaab, Surah 33, Ayah 33.
إِنَّمَا يُرِيدُ اللَّهُ لِيُذْهِبَ عَنكُمُ الرِّجْسَ
أَهْلَ الْبَيْتِ وَيُطَهِّرَكُمْ تَطْهِيرًا
“Verily, Allah has decreed to purify you, O' Ahlul Bayt, and sanctify you in a perfect way”
Source:
http://www.islamicbooks.info/H-21-Math'habs/Quran-Ahlul-6.htm