To add some color, it's likely there are already design/development shops in your city if you live somewhere with any kind of technology presence. If you don't know of any, go to local meetups in the web space and ask around about which ones are local to you.
As was previously mentioned, many development shops subcontract out work to local developers. Talking to them at meetups or sending an email letting them know you're interested in working with them is a great way to kick off a conversation that could lead to you working with them.
Steven was right, the point I was making a point that I've found contacting local agencies/houses to be most successful, probably due to the fact it's easy to meet face-to-face and go in to their offices when they really need the extra help.
1: Open a web browser (look for a blue E icon, or a red/yellow/green circle, or an orange fox circling a globe)
2: In the address bar, type "www.google.com" without the quotes and press enter.
3: In the search bar of the page that appears, type "CITY web development" again without quotes and substituting the city you live in for CITY.