The feet and toes you saw, partly of clay and partly of iron, mean that it shall be a divided kingdom, but yet have some of the hardness of iron. As you saw the iron mixed with clay tile,
The iron mixed with clay means that they shall seal their alliances by intermarriage, but they shall not stay united, any more than iron mixes with clay.
The ten horns shall be ten kings rising out of that kingdom; another shall rise up after them, Different from those before him, who shall lay low three kings.