Composting doesn't have to involve expensive plastic containers, specific recipes with the right "ingredients" or fancy tumbling mechanisms. Compost is simply the byproduct of broken-down organic matter and can be cultivated in a number of ways--one of them being directly into the garden.
If you choose to compost without a bin or storage container, stick with composting in your vegetable garden rather than in flower gardens. The possibilities of seeds germinating or bringing pests into your flower garden are too great.
Find a place in your vegetable garden that's open for digging. Chose a place that will be unturned for at least a few months--at the base of new growth, between rows, an empty corner or a place where plants have been spent.
Dig a hole about 8 inches deep to cover your scraps. By burying the scraps, you give them direct access to the worms and other bugs that are going to break them down into nutrients without leaving them out to attract unwanted pests such as raccoons or skunks.
Place vegetable scraps, coffee grinds, eggshells and other organic material straight into your hole and cover. Overripe veggies and scraps can go in whole--the micro-organisms in the dirt, worms and other insects will break them down in just a few weeks. Of course, if your plants are in need of the nutrients quickly, smaller pieces do break down in less time.