International rules for a king how many moves can the king take if there are no opposition pieces to jump?
In international rules, the King can move any distance along a diagonal. This holds true whether jumping over a piece or not.

A king is still subject to the rule that it must make a jump if it can, and it must make as many jumps as it can.

So after jumping over a piece, you can choose how far beyond that piece to land. But if one of the spaces beyond the captured piece would allow the king to turn and capture another piece, it must choose to do that.



I would not think of it as the king moving along the diagonal after a jump; but rather as the jump landing on any square beyond the captured piece.

Reference: https://www.itsyourturn.com/t_helptopic2130.html#helpitem1330