I spray some solvent or WD40 into the emulsifier chamber (with the carb upside-down) and let it sit a little while, then push it out (down) from the top.
A word of caution: use a pencil or dowel, not a steel tool, unless you have first ground the steel tool to fit inside the little hole. I clean so many of these carbs that I have made 2 steel ones, but wood or plastic won't hurt it.