To write braille by hand you need a slate, stylus, and card-stock paper. These can be purchased easily online. The stylus is a small device, usually a couple inches long. One side is a handle, the other is dull shaft of metal. The metal is pressed into the paper to create the protruding dots that comprise the braille alphabet. The slate is used to keep the dots precisely spaced into neat rows of appropriate distance from one another. It is composed of two pieces of metal, approximately the length of a page of paper, attached by a hinge. It is typically tall enough to include 4-6 rows of braille. Card-stock paper is a thick type of paper. When a stylus is applied to it, it will bend into an indention, rather than rip. Sandwich the paper between the two metal sheets of the slate. The slate should have several rows of cells with six holes each. Press the stylus through the holes of the slate to make dots in the appropriate patterns. When pushing the dots up, you are essentially writing on the back of the page. That means you need to use the stylus to write from right to leftas if writing a mirror image. Afterward, you flip the paper so that the braille reads normally, from left to right.

Summary:
Collect your tools. Clamp the slate around the paper and indent the paper with the stylus. Flip the page.