Step 1: Glycolysis is the first step of cellular respiration in which glucose is broken down into pyruvate.
Step 2: This process does not require any membrane-bound organelle and occurs in the cytoplasm of the cell.
Step 3: Mitochondria are involved in later stages of respiration such as the Krebs cycle and oxidative phosphorylation.
Hence, glycolysis takes place in the cytoplasm.