Ibn Taymiyyah says:
Qiraa'ah al-'idaarah (where one person recites a portion of the Qur'aan and stops. Then, the next carries on reciting from where the frist stopped) is good in the opinion of most scholars.
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Chaper in regards to al-'idaarah and this is when they come together and form a group. One recites 10 or a juz then becomes quiet and another reictes from where the frist stops. Then, another recites and likewise. This is permissible and good. And Imaam Maalik was asked regarding this and he said: There is no harm in it.
There evidence is the following narration:
Abu Hurairah (May Allah be pleased with him) reported:
The Messenger of Allah (sallallaahu alayhi wa sallam) said, "Any group of people that assemble in one of the Houses of Allah to recite the Book of Allah, learning and teaching it, tranquility will descend upon them, mercy will engulf them, angels will surround them and Allah will make mention of them to those (the angels) in His proximity."