AL BAQARAH — Ayat 232
وَإِذَا طَلَّقْتُمُ النِّسَاء فَبَلَغْنَ أَجَلَهُنَّ فَلاَ تَعْضُلُوهُنَّ أَن يَنكِحْنَ أَزْوَاجَهُنَّ إِذَا تَرَاضَوْاْ بَيْنَهُم بِالْمَعْرُوفِ ذَلِكَ يُوعَظُ بِهِ مَن كَانَ مِنكُمْ يُؤْمِنُ بِاللّهِ وَالْيَوْمِ الآخِرِ ذَلِكُمْ أَزْكَى لَكُمْ وَأَطْهَرُ وَاللّهُ يَعْلَمُ وَأَنتُمْ لاَ تَعْلَمُونَ
And when you divorce women and they have fulfilled their term, do not prevent them from remarrying their [former] husbands if they agree among themselves on an acceptable basis. That is instructed to whoever of you believes in Allah and the Last Day. That is better for you and purer, and Allah knows and you know not.
Tafsir Ibnu Katsir
وَإِذَا طَلَّقْتُمُ النِّسَآءَ فَبَلَغْنَ أَجَلَهُنَّ فَلاَ تَعْضُلُوهُنَّ أَن يَنكِحْنَ أَزْوَجَهُنَّ إِذَا تَرَضَوْاْ بَيْنَهُم بِالْمَعْرُوفِ ذلِكَ يُوعَظُ بِهِ مَن كَانَ مِنكُمْ يُؤْمِنُ بِاللَّهِ وَالْيَوْمِ الاٌّخِرِ ذلِكُمْ أَزْكَى لَكُمْ وَأَطْهَرُ وَاللَّهُ يَعْلَمُ وَأَنتُمْ لاَ تَعْلَمُونَ
232. And when you have divorced women and they have fulfilled the term of their prescribed period, do not prevent them from marrying their (former) husbands, if they mutually agree on reasonable basis. This (instruction) is an admonition for him among you who believes in Allah and the Last Day. That is more virtuous and purer for you. Allah knows and you know not.  `Ali bin Abu Talhah reported that Ibn `Abbas said, â€This Ayah was revealed about the man who divorces his wife once or twice and her `Iddah finishes. He later thinks about taking her back in marriage and the woman also wishes that, yet, her family prevents her from remarrying him. Hence, Allah prohibited her family from preventing her.'' Masruq, Ibrahim An-Nakha`i, Az-Zuhri and Ad-Dahhak stated that this is the reason behind revealing the Ayah (2:232). These statements clearly conform to the apparent meaning of the Ayah.  The Ayah (2:232) also indicates that the woman is not permitted to give herself in marriage. Rather, she requires a Wali (guardian such as her father, brother, adult son, and so forth) to give her away in marriage, as Ibn Jarir and At-Tirmidhi have stated when they mentioned this Ayah. Also, a Hadith states that: