This is the formula I follow basically for demon summoning; it’s what I’ve come to my own conclusions over the years and has worked the best for me personally, but may be different for others.
I decide my end goal and if it’s worth going through all the effort for a big ritual; if I feel I need personal counsel, I want to go all out as much as I can, especially since Paimon is a King. Then I pick a demon that could help with my end goal; I pay attention not just to their offices, but ruling planets and other associations that may add to the working I have planned, but also what gets me excited wheb I read their name. Usually I would pick a date within the timeframe the demon is associated with to do the working, but if I feel it should be ASAP, I give myself at least a week for prep. In that span of time, I do all my usual daily things (work, cleaning, etc) but a chunk of my free time is devoted to prayer and research on the demon (an act of devotion in it’s own right) and cleansing. I gather ritual supplies like incense and libations, plan what type of spells or divinations I may do during the ritual, if I’m going to cook any food, make sure all the tools and the space are cleansed and consecrated (and myself, I like to use rosemary soap to purify my body in the spiritual regard, and you got to feel on top of yourself for these things).
When the planned night (or day) of the ritual is here, I make sure that my altar and space reflects the demon I wish to contact; candles and object decorations of their color, herbs and incense they like (I like to make unique loose incense blends for demons), their sigils drawn by hand or at least present, anything else you need specific to the working; and that I know their orisons/enns by heart and can chant them from memory for the night. I will usually do meditation and more prayer/enn chants in the direction they hail from and invite them to my space and to appear in any form they wish. Whether they appear or not, I go about whatever spell I may want to do and try to meditate/ruminate on the demon and what may work in their regard, if I don’t exactly have their immediate counsel
They could appear as an hallucination, as a manifestation in your scrying mirrors, as sudden revelations or scenes in your mind, or may visit you in your dreams; they may appear over the week instead of just that night as animal symbols or other phenomena that may feel significant to you; I always stress to people that you DON’T ALWAYS NEED TO FEEL A PRESENCE, and while we may be vying for personal experience and seeing “the Otherside,” do not be discouraged if you never feel anything when you do grand official summonings, as you are still putting out the energies of your devotion and working out there in their name.
The ONE THING I leave out is my use of entheogenic plants, which I cannot willy-nilly say for anyone to use online, but they work greatly for greater, easier manifestations, but it is possible to receive their messages without them, and this is the type of ritual I use. The only variables I change is conditions that would appease the demon, like indoors/outdoors, night/day, types of offerings and workings and incense. I’ve done these rituals in woods and mountains and done them in my room at home.