Two databases allow you to find quantitative research as you search: PsychARTICLES and PsychINFO. For both, you will want to do an Advanced Search and go to Methodology and select Quantitative Research. When you add this limiter, your search will only yield quantitative research.
You can find quantitative research in other databases, however, you can not limit it within your search. You can try tricks like adding the words quantitative or quantitative study with your search. When you read the abstract and/or methodology, you can determine if the article is a quantitative study.