If a husband and wife get divorced before the marriage was consummated, although they made love but didn't have intercourse, is it possible to remarry?
In Shia views, it's okay to remarry your wife but if you divorce her for third time, remarry is on the condition of the woman marry and divorce another man.
For sure, In Islam, divorced couples can get back to each others but there are some rules to take in account.
Divorce has three types:
Talaq raj3i: the one happens when a husband says it to his wife for the first time, in this case, she wait at their home for 3 months, within which he can get her back anytime, she is still considered his wife until the end of the specific period. some references and more explanation is in the here. reference from quran: قول الله تعالى: ﴿ وَالْمُطَلَّقَاتُ يَتَرَبَّصْنَ بِأَنفُسِهِنَّ ثَلَاثَةَ قُرُوءٍ ﴾(البقرة:228) إلى قوله: ﴿ وَبُعُولَتُهُنَّ أَحَقُّ بِرَدِّهِنَّ فِي ذَلِكَ إِنْ أَرَادُوا إِصْلاحًا﴾(البقرة: 228)
Talaq ba2en baynona soghra: if the 3 months period passed (or a pregnancy is finished) without they get back to each others, they have to leave each others, and can get back only by a new marriage contract.
- Talaq ba2en baynona kobra: in the case, two husbands were divorced for the third time, they can not get married again unless the wife got married with someone else and then got divorced for some reason. له تعالى: ﴿ فَإِنْ طَلَّقَهَا فَلَا تَحِلُّ لَهُ مِنْ بَعْدُ حَتَّى تَنكِحَ زَوْجًا غَيْرَهُ ﴾ (البقرة:230)
Anyway, you will find here more comprehensive details.
This is also one of my references but in arabic