"The world was made as "a natural grand division," or a projecting outward of God."
First of all, the use of "OR" here means there are two ways of saying this. A natural grand division is the same thing as a "projecting outward". Which is the same thing also as extension and creation. When God projected outward from Himself he Created "the world". This is the world of heaven, having nothing to do with the physical universe.
"That is why everything that He created is like Him."
So we know that everything God creates is LIKE Him. Like a copy. "Heaven and Earth are opposites in every way" - so we know God did not create Earth.
"Projection, as undertaken by God, is very similar to the kind of inner radiance which the Children of the Father inherit from Him. It is important to note that the term "project outward" necessarily implies that the real source of projection is internal. This is as true of the Son as of the Father."
The clarification here is that what God is, internally, is "distinct" in a NATURAL way, from the "projecting out" (creating) that God performs. His CREATION, is "naturally divided" from Him. This reflects in the idea that God is the FATHER, and His Creation is HIS SON. He is Cause, His creation is Effect.
This is considered a NATURAL division. Because it is natural, it is not alien, it is not an attack, it is not ego, it is not separation, it is not a dream, it is not artificial, it is NATURAL and normal and healthy.
All of God's children (plural - many) inherit this same ability to create which is the ability to radiate outward from their being, to create things which are NATURALLY DIVIDED from themselves, in terms of the relationship of cause to effect. All children are CAUSE of their Creations, which are their effects.
The natural division between Father and Son tells us Father creates the Son, but the Son does not create the father. If there was no "division", the Son would indeed create the father. The Son is INCAPABLE of doing that, because He is the EFFECT of the Father, so He is "divided off" from being able to BE the "Cause of God'. But he Himself inherits Fatherhood abilities, meaning He can "father" (create) His own creations.
To create His own creations he MUST be given free will. God is freedom and God only creates that which is free. If the Father has even ONE Son, that son MUST have FREEDOM. A free will. Bestowing complete freedom upon the Son is basically a MIRACLE, because in a way it means the Son is DISTINCT in His own ability/independence/individuality to Will either WITH the father or to try to will against Him. FREEDOM gives Him that "right" or ability.
"The world, in the original connotation of the term, included both the proper creation of man by God and the proper creation by man in his right mind. The latter required the endowment of man by God with free will because all loving creation is freely given. Nothing in these statements implies any sort of level involvement or in fact anything except one continuous line of creation in which all aspects are of the same order."
There is nothing UNNATURAL about these divisions. Effect is not cause. However God creates so fully and so freely and gives so unconditionally that He gives ALL of His abilities to His Son, endowing Him with both FREEDOM and the ability to CREATE FREELY. As the quote says, this is all in one continuous LINE OF CREATION, in that, the SonS (plural) and THEIR creations (and the creations of their creations etc) are all one simultaneous timeless eternal creation. It has all always been.
That there are NATURAL DIVISIONS, particularly between cause and effect or Father and Son, doesn't necessarily mean that there is anything blocking the Son from being completely equal to and "one with" the Father. There is no "difference" that comes between them. But they are still distinct. They are as close to each other as close can be, to the point where they practically disappear into each other. But they are still divided! Like, they can HUG!
An UNNATURAL division, is what the course refers to as SEPARATION. An unnatural division is unhealthy and incorrect and is an error. It's an artificial division that isn't supposed to be inherent to the nature of Creation. It is a wall, a block, a barricade which attempts to cut off some portion of Creation and keep it in the dark. This is the ego's separations. Divisions in heaven do not keep anyone from SHARING with each other. Ego separations BLOCK SHARING. Every ILLUSION of multiplicity, every ego form of attack, every wall or block or unnatural separation, these are UNNATURAL. This is not the same thing as a NATURAL division.
Heaven has NATURAL divisions. There is a kind of hierarchy of cause and effect: God > Many Sons > Son's Creations > Creations of Son's Creations etc.
Even the idea of God having ONE Son suggests a hierarchy: God > Son. Yet the ego would say, noooooo... can't have heirarchies or any concept of separations or multitudes in Heaven. YES YOU CAN. And they are NATURAL, meaning they are not WRONG to be there, and they are not attacks, and they are not ego.