As noted in comments to the OP, a process status (STAT) of D indicates that the process is in an “uninterruptible sleep” state. In real-world terms, this generally means that it’s waiting on I/O and can’t/won’t do anything – including dying – until that I/O operation completes.
Processes in a D state will normally only be there for a fraction of a second before the operation completes and they return to R/S. In my experience, if a process gets stuck in D, it’s most often trying to communicate with an unreachable NFS or other remote filesystem, trying to access a failing hard drive, or making use of some piece of hardware by way of a flaky device driver. In such cases, the only way to recover and allow the process to die is to either get the fs/drive/hardware back up and running so the I/O can complete or to give up and reboot the system. In the specific case of NFS, the mount may also eventually time out and return from the I/O operation (with a failure code), but this is dependent on the mount options and it’s very common for NFS mounts to be set to wait forever.
This is distinct from a zombie process, which will have a status of Z.