Infinity is not a number. Zero and infinity are different types of mathematical object, so this kind of operation is a category error. You may as well ask what a banana divided by the color blue is equal to. Maybe some brilliant mathematical thinker of the caliber of Ramanujan will find a specialized sense in which such an operation can be treated as having some meaning, such as his bizarre assignment of definite values to divergent series, i.e.
1 + 2 + 3.... = -1/12
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