This question includes two issues:
First issue: Gathering for recitation of Quran. It is in such a way that the people present will share the Qur’an one by one; So that everyone can finish his recitation at the same time.
The answer to this question is given in the fatwa of the standing committee (2/460):
One: Gathering for recitation and study of the Qur’an; It is in such a way that one person will recite it, the rest will listen and they will study what they have read together, they will understand the meaning – Shariah approved and good deeds; That which Allah loves and rewards for it. Imam Muslim in his Sahih and Imam Abu Dawood in his Sunan narrates from Abu Huraira that the Prophet (peace and blessings of Allaah be upon him) said: Upon Sakina (peace) is revealed. God’s mercy encompasses them. The angels surround them. God speaks to those who are with Him. ”
It is also permissible to pray after finishing the Qur’an. But it is not always right to pray in certain words; So that it may seem like a follow-up circumcision. Because it was not narrated from the Prophet (peace and blessings of Allaah be upon him). Rather, some of the disciples did so. Similarly, there is no problem in inviting those who have come to study to eat; If it is not taken as a traditional practice.
Two: If the passages of the Qur’an were divided among all those who attended the gathering, it would not necessarily be considered that they had all finished the Qur’an. Their purpose is merely to bless. There is something wrong with that. Because the purpose of reading the Qur’an is – to be close, to memorize, to think, to understand the provisions of the Qur’an, to learn from it, to have the reward and to make the tongue accustomed to recitation … etc. Allah is the bestower of blessings.
Second issue: Believing that this action (gathering in the manner mentioned in the question) has an effect on the acceptance of prayers: there is no evidence to support this. So it is not allowed by Sharia. There are many well-known reasons for accepting prayers; There are some well-known obstacles such as non-acceptance of prayers. The duty of the supplicant is to acquire the reasons for accepting the supplication and to stay away from obstacles and to have a good idea of God. Because God is such a servant to him.
Special Note: Documents will be summoned to the person who will make the provision of Shariah on any one subject. Otherwise, the basic principle of worship is – anything is forbidden; Until the Shariah is approved, as the scholars have decided. For this reason, the belief that this is not Shari’ah is being documented – there is no document to justify it.
GOD is Omniscient.