How can we combine between memorizing the Noble Qur’an and seeking knowledge?
Start with the Qur’an: reading it, and perfecting its recitation. If you accomplish this – may Allah aid you in seeking knowledge – then this is a great bounty from Allah upon you. The Qur’an will be easy for the one who (sincerely) wants it, for verily, Allah The Most High says,
وَلَقَدْ يَسَّرْنَا الْقُرْآنَ لِلذِّكْرِ فَهَلْ مِن مُّدَّكِرٍ [Al-Qamar:17]
And We have indeed made the Qur'an easy to understand and remember, then is there any that will remember (or receive admonition)?
The Qur’an is the key to every (Islaamic) science. Your perfecting its recitation and memorizing it will open up for you areas of knowledge that only Allah knows (best to what extent will benefit you).