Start with the area of interest. What section are they in? History? Travel? Religion?
This will be the 100s number before the decimal. (600= Technology (Applied Sciences)
What subgenre is the interest? If you're looking into technology in applied sciences, is it agriculture? Animal Husbandry?
This will be the 10s number. 600= Technology (Applied Sciences)/630=Agriculture and Related Tech/636= Animal Husbandry
Next will be the subdivisions. Do you want to learn more about cats? Dogs? Birds?
This will be your decimal. 636.7=Dogs/636.8 Cats
For more information about Dewey Classifications and its history, check out this packet from the Online Computer Library Center (OCLC).