According To The Teaching of St. Thomas Aquinas
PART FIRST.
THE ORDINARY PRESENCE OF GOD IN ALL CREATURES ⁹
The Divine substance occupies no determined space, either great or small; it does not need space to display itself, and enters into no relation of proximity or remoteness with beings that exist in space. If we speak of a relation of the Divine substance with these beings, we mean only a relation of power and operation; i. e., God is intimately present to all things because He produces and preserves the being of all things: "God is not determined to space great or small by the necessity of His essence, as if He need be present in any place, since He is from all eternity before all place; but by the immensity of His power He reaches into all things which are in place, because He is the universal cause of being. Thus He is wholly wheresoever He is, because by His simple power He reaches into all things."
1 If then God is present in all places and in all creatures, it is because no actual space and no created being can escape His direct and immediate influence, for His power, and consequently His substance, reaches out to them all.
2
1 St. Thomas, L., iii., Contra Gent, lxviii.
2 Summa Theologica. Ia., q. cxii., a. 1.