Update _check_and_convert_maxiters to ensure rounding

[Vaibhavdixit02]

Checklist

• Appropriate tests were added
• Any code changes were done in a way that does not break public API
• All documentation related to code changes were updated
• The new code follows the
  contributor guidelines, in particular the SciML Style Guide and
  COLPRAC.
• Any new documentation only uses public API

Additional context

Fixes #848
Add any other context about the problem here.