In quantitative research, the research problem section is used to guide or direct the types of questions or hypothesis asked in a study

In qualitative research, the research problem discussion is used to highlight the importance of central idea

In qualitative and quantitative research, both might use similar approaches in data collection such as observation.

In qualitative and quantitative research, even though researchers might use similar approaches in data collection such as interview yet for quantitative research, they use more closed-ended approaches in which they identify set responses categories such as strongly agree and such.

In qualitative research, researchers do not rely on statistical analysis (mathematical analysis) of the data which is typically in numeric form

Photos, archival documents and interview transcripts are examples of quantitative data

In qualitative research, the literature review section might be more of a literary opening with a personal vignette or passage

Quantitative research might be more suitable to be used if a researchers want to explore issues with research questions which trends or explanations need to be made

In qualitative research, researchers use more open-ended approaches in which they ask general questions of participants, and the participants shape the response possibilities

Either you use quantitative or qualitative research approaches, you need to make sure that the approach is matched with your research problem