It is not permissible to throw a paper that contains the name of Allah in the trash. He who commits this with belittlement, blasphemes.  Suratut-Tawbah, Ayas 65,66 means, “Say to them, ‘Do you jest about Allah, His Ayahs and His Messenger? Make no excuse, for you have blasphemed after having been Muslim”.

Ibn ^Abidin said, “He who throws the Qur’an in the trash blasphemes, even if he did not intend to belittle it, because his mere action indicates belittlement.”