Cytokinin is the plant hormone responsible for the promotion of cell division and gibberellins is the hormone responsible for cell elongation.

Explanation: HORMONES are chemical compounds which help to coordinate growth, development and responses to the environment. Cytokinins (CK) are a class of plant growth substances (phyto-hormones) that promote cell division. They are the positive regulators of cell division in shoot apical meristem.

Gibberellins (GAs) are plant hormones that regulate growth and influence various developmental processes, including stem elongation.