How do you think about an extension of []DIV ?
Currently,
[]DIV = 0 returns for 1÷0 a Domain Error,
[]DIV = 1 returns for 1÷0 a 0,
and
[]DIV = 2 could return for 1÷0 a NaN.
A NaN could be diplayed as Unicode U+26A0 (⚠)
(See
http://unicode.org/review/resolved-pri.html#pri74)