Walaykumsalam. First, it is fard upon us to refer back to Allah and his Messenger in all things, especially when we differ. Allah said in Surah an-Nisa' 4:59 =
"O you who have believed, obey Allah and obey the Messenger and those in authority among you. And if you disagree over anything, refer it to Allah and the Messenger, if you should believe in Allah and the Last Day. That is the best and best in result."
And in Surah ash-Shura 42:10 =
"And in whatsoever you differ (ikhtalaftum), the judgment thereof is with Allah"
Referring to Allah and the Messenger is the only way to end differing.
In Islam, there's no valid differing (ikhtilaaf). Allah said in Surah an-Nisa' 4:82 =
"Then do they not reflect upon the Quran? If it had been from other than Allah, they would have found within it much contradiction (ikhtilaaf)"
Differing happens for two main reasons =
1) When people don't obey Allah. If they had obeyed Allah, they would not differ, as differing is sign of Allah taking away His Guidance. The proof for this is in Surah al-Baqara 2:213 =
"But Allah guided those who believed to the truth about what they had differed (ikhtilaaf) in, by His permission. And Allah guides whom He wills to a straight path."
2) People differ out of hatred and jealousy. Allah said in Surah aali-Imran 3:19 =
"Indeed, the religion in the sight of Allah is Islam. And those who were given the Scripture did not differ except after knowledge had come to them - out of jealous animosity between themselves. And whoever disbelieves in the verses of Allah, then indeed, Allah is swift in account."
One of the purposes of the Quran is to end differing, as Allah said Surah an-Nahl 16:64 =
"And We have not revealed to you the Book, except for you to make clear to them that wherein they have differed and as guidance and mercy for a people who believe."
Just because scholars differ, doesn't mean they're correct. Either one of them is right or they're all wrong. And only way to know who's correct, is to see what Allah has said.
Everything in Islam must be proven from Quran and Sahih sayings of the Prophet, since the Prophet was the last and final Messenger of Allah who received revelation, and no one else.
It's obligatory upon every Muslim to seek knowledge from the source = Quran and Sunnah and to follow Islam based on this knowledge. This is the only way to end differing.