CRJ-700 Captain reported a windscreen heat problem caused an immediate descent and continued to destination airport to make a precautionary landing.

Narrative

At flight level F270 in level flight about 25 minutes out of ZZZ; I noticed an amber flame from the bottom of the forward windshield; CA (Captain) side. I immediately recognized the problem and shut off the windshield heats to stop the flame from accelerating. I then noticed a crack appear from the bottom of the windshield and it worked up to about midway to the middle of the windshield. I then transferred the radios to the FO (First Officer) and began to run the QRH: Windshield or Window Cracking; Shattering; Arcing or Delamination checklist. I adjusted the cabin altitude with QRH procedure. As I was adjusting the cabin altitude lower in accordance with the QRH there was a loud alarming sound of the windshield cracking. I looked up and the whole windshield had shattered. Immediately the FO requested priority handling and requested 10;000 ft. and advised the FAs (Flight Attendants) as we both were shocked and not sure if the windscreen would hold and I was in the direct path of the fractured windshield. I continued to manage the cabin altitude and instructed the FO to slow the aircraft to recommended airspeed as I now had to start the QRH back at item XX as the windshield was now shattered. After getting control of the situation I notified the FAs and told them we had everything under control and gave them the [checklist] items. Then notified Dispatch and Maintenance and told ATC we would continue to ZZZ as I felt we had everything was under control and we would not affect the operations of the ZZZ airport. After landing we canceled the emergency and finished the QRH procedure and arrived at our gate. I then called the Chief Pilots and they gave me guidance on what was to be done next