I'd like to offer my take on this. It's all very interesting.
Dhikr (the remembrance of Allah) has a lot to do with my opinion on this. These hadith will illustrate my point:
In a hadith qudsi, the Prophet, peace be upon him, narrated: "Allah says: 'I am to my servant as he expects of Me, I am with him when he remembers Me. If he remembers Me in his heart, I remember him to Myself, and if he remembers me in an assembly, I mention him in an assembly better than his, and if he draws nearer to Me a hand's span, I draw nearer to him an arm's length, and if he draws nearer to Me an arm's length, I draw nearer to him a fathom length, and if he comes to me walking, I rush to him at [great] speed. (Bukhari and Muslim)
Abu Sa'id Al-Khudri and Abu Hurairah reported that the Prophet, peace be upon him, said, "When any group of men remember Allah, angels surround them and mercy covers them, tranquility descends upon them, and Allah mentions them to those who are with Him."
And also this verse from the Quran:
So remember Me; I will remember you. And be grateful to Me and do not deny Me. (2:152)
Some normal everyday experiences for me would be often when i am driving (sometimes walking), i will see a lone solitary leaf fall. And it always makes me think of this verse:
And with Him are the keys of the unseen; none knows them except Him. And He knows what is on the land and in the sea. Not a leaf falls but that He knows it. And no grain is there within the darknesses of the earth and no moist or dry [thing] but that it is [written] in a clear record. (6:59)
And i remember Allah, with some dhikr.
Another one would be, also while driving (again, walking as well), a bird will fly right in front of my car. And i always seem to think of this verse:
Do they not see the birds above them with wings outspread and [sometimes] folded in? None holds them [aloft] except the Most Merciful. Indeed He is, of all things, Seeing. (67:19)
And i remember Allah, with some dhikr.
Even reading the stories in the thread make me remember Allah (Brother Woodrow's, the chap speaking about Sura Al Rahman).