It is proved that on a given real algebraic curve \(X\) there is a large class of non-special divisors of relatively small degree, and if \(X\) has many real components, such a divisor determines an embedding of \(X\) into the real projective space \(\mathbb{P}^r\) for \(r\geq 3\) (and a birational embedding for \(r=2\)). These embeddings are then studied in detail.