A good way to make small quantities of compost is to use heavy-duty (and non-bio-degradable!) plastic garbage bags, say 30-gallon size. Fill the bag with equal volumes of "brown," "green," and earth. Ideally, add a bit of compost from another source, to kick-start the colony of bacteria. If the material is dry, add some water as well.
Seal the bag so it is airtight and leave for about 6 to 8 weeks. Either leave the bag outside in the sun to provide heat (so long as it is somewhere where it won't be punctured, and preferably sheltered from rain and wind), or you can keep it in a basement, garage, etc, in winter.
If you don't over-fill the bag, you can mix up the contents (about every 2 weeks) without opening it, unless it is too wet and everything inside is stuck together.
If some of the material hasn't decomposed in 8 weeks, or the contents don't smell nice, just re-seal it and wait longer. Don't add new material - you are trying to make one batch at a time, not operate a continuous process.
If you end up with an evil-smelling sticky mess, the initial mixture was wrong (usually either too wet or too much "green"), but you can still bury it in a trench in your garden. It will break down and improve the soil quality eventually, though it might take a year or longer.
If you don't have enough material even for this small scale, you would be better off trying something else like vermiculture, or just dig disease-free and weed-free vegetable waste direct in the garden and send the rest to landfill. (Proper composting generates temperatures that are high enough to kill most disease-carrying organisms and weed seeds - a good compost heap can heat up to 50 degrees C or more).
Incidentally, some local councils in the UK collect compostable material as part of their recycling schemes and supply the compost free on a "collect-it-yourself" basis (bring your own bags and shovel!) That is the easiest way to process a regular but small supply of compostable waste.