As self-seeding wildflowers, gaillardias will propagate on their own in your garden if left to their own devices. For more controlled propagation, divide your plant every two years. Dig up a plant, and gently pull its roots apart to divide it into two plants. Replant your gaillardia as two separate plants. If you prefer to propagate through seed, sow seeds in the late summer, protect them through the winter, and plant them after the final frost.