Alexander landed on the dragon's back which sent the swaying so as to shake him off. But unlike the last time, he had come prepared. He held one of the dragon's scale and used it to swing left with his sword in hand. Slash!
The first cut made the dragon growl in pain as it spit fire aimlessly missing its cunning target. In the end, the fire ended up hurting the owner.
Alexander took this as a perfect opportunity and slid to its belly. If he wanted to get rid of the beast, he had a take its heart out. And considering this was the source of the fire it produced, this was even riskier than he had thought.
His sword engulfed in flames and with a cynical run on the belly, he gave the beast a horizontal cut on the tough skin. This made the dragon crazy and it began spitting fire aimlessly. Alexander was knocked off but he was quick to regain his composure before he'd fall.