So far I find no references in the books (so far... read 1 thru 3, 4 soon) and Series (thru season 6) of any raw materials processing such as smelting, refining, forming of metals or other materials. Only gathering/transporting ice for needed water is mentioned. However, such ore processing functions MUST be occurring out in the belt in order to build ships and stations and bases. We know that asteroids are very mineral rich.
SO... a couple of things may be happening.
Large foundry ships and associated support craft may move from rich field to rich field, turning asteroids into useable material stocks which are then delivered to buyers and builders.
Many many tiny independent ships (and also Corporate fleets) gather mineral rich asteroids and transport them to fixed base processing facility in orbit or on a moon somewhere.
ADD BJV: large scale separating, refining and forming metals are very energy intensive processes. There would need to be a very well developed infrastructure to create, control and safeguard.