How can one reconcile the noble Hadith: "None of you will enter Paradise by virtue of his deeds," with the noble verse: (and strives for it with its due striving)?

There is no contradiction between the noble Hadith and the noble verse. The Hadith clarifies that entering Paradise is by the grace and mercy of Allah, not merely by the servant's deeds, while the verse clarifies that deeds are not accepted unless the conditions for acceptance are met, which are: faith, sincerity, and righteous deeds conforming to the Sunnah.