Leftovers are rarely a theological problem, but in the Pesach laws they become one. Targum Pseudo-Jonathan on Exodus 12:10 addresses what to do with any remnant of the lamb that survives until morning. The answer is in two stages. During the night itself, the remains must be covered up. Only in the daylight of the sixteenth of Nisan may they be burned with fire.
Why the delay? Because you cannot burn a holy offering on a festival day. The fifteenth of Nisan is Yom Tov, a sacred assembly. Kindling a fire to destroy the leftover sacrifice on that day would violate the holiness of the festival itself. So the Targum carefully instructs: cover the remnant at night, let the festival day pass, and then burn it the following day.
The verse as rendered here preserves an important principle in rabbinic law: the sanctity of a sacrificial remnant does not evaporate, and the sanctity of the festival day does not bend. Both must be honored. The solution is patience. Wait until the calendar permits the burning, and then perform it in daylight.
For the rabbis, this small detail taught how to live between two absolutes. You cannot violate one holy thing to dispose of another. You create a pause. You cover. You wait. Eventually the right hour comes.
Takeaway: Even the disposal of holy food is holy. The Torah does not let you tidy up on the wrong day.