to die, to sleep, perchance to dream.
If a descriptive word is put between " to" and the verb, it is called a split infinitive:
to quietly die, to bravely go forth, to fondly remember
English writers have been splitting infinitives for centuries, but pedantic grammarians in the nineteenth century began calling it incorrect to split an infinitive. It is one of those rulings based on Latin rather than the natural grammar of English.
Except in the most formal settings, it is quite acceptable to quietly split an infinitive now and then, but if you do, some pedant is going to falsely accuse you of being ungrammatical.
See more at formal English.