Which process involves many pieces of the original organism growing into new organisms?

Fragmentation is a process of asexual reproduction where an organism breaks into several pieces, and each of those fragments can grow into a complete new organism. This method allows for regeneration and can occur in various organisms, such as starfish and certain types of worms.

In fragmentation, the key characteristic is that the original organism's body breaks into parts, and these parts possess the capability to regrow into entire organisms, effectively allowing multiple new individuals to emerge from the original organism. This process highlights the remarkable ability of some organisms to reproduce and thrive even when they have been physically severed into smaller components.

This distinguishes it from processes like budding and binary fission, which involve the growth of new organisms through different mechanisms. Budding refers to a new organism forming from a small outgrowth or bud on the parent organism, while binary fission involves the organism splitting into two equal halves. Asexual reproduction encompasses a broad range of reproduction methods but does not specifically emphasize the fragmentation aspect where multiple pieces regrow into new individuals. Therefore, fragmentation accurately describes the scenario presented in the question.