What you're describing, a hard stool that's too wide for the opening, is a common form of constipation that builds up after stool sits for a couple of days without enough fibre or fluid. It usually isn't serious on its own, but it does need diet changes to resolve properly rather than waiting it out.
Next Steps
Increase your water intake, eat more fruits, vegetables and whole grains, and never hold back the urge to go. A mild stool softener from a pharmacist can help in the short term if diet alone isn't enough.
Health Tips
See a doctor the same day if you notice blood, get severe pain, or are unable to pass any stool for several days.