There are different ways how you can do this.
One way is to use the share buttons, which you can found in the emoticon toolbox. Just view the gomote, you want to share. You have three options on this way.
Google: If you’re using Google, you can add a +1
Twitter: If you’ve a twitter account, just click on the icon and tweet the gomote to all your followers.
Facebook: If you use Facebook, you can add a link on your profile, with your favorite gomote.
The easiest way to share all gomotes with your friends, is to tell them about the site. Or link to gomotes on your homepage, blog, messengers or chats.