Devotees typically chant the name in the sequence to appease and appeal to Maa Kali and obtain love and blessings.
You could do this as part of your daily sadhana (prayer-routine) or during the four Navratri-s (nine nights of the mother goddess) or during Kali Chaudas, which is a celebratory day during the Diwali or on any Saturday.
It is particularly potent to pray to Ma Kali during the black moon (i.e. amavasya, no moon) and during the full moon (Purnima) lunar phases.
Note: You are also able to download this document, so you can easily refer to it during your prayers...visit my slide-share profile and there you can download this eBook, so you can conveniently read it anytime, anywhere.