This happen via mitosis (For eukaryotes) and binary fission (For bacteria). The process is basically that at a certain point, when the cell gets to a certain size, it will start to divide into two. Molecules design for the purpose of replicating a cell’s cellular material start the process of making two of each chromosome and organelle. Once you have to everything, cellular structures (Centrioles) pull the DNA (Chromosomes) needed to make up a whole new cell to opposite ends of the cells along with organelles. The cell then starts pinching itself in two by of a until they break apart from each other. You end with what are considered two new daughter cells. Not a mom and a daughter, but two daughter cells. This is a very broad description without the names of any molecules, but it’s the gist of the whole process. A lot is still being researched about what happens to each organelle during mitosis. My senior of college (last year), we didn’t have a text book because the stuff we were studying was so new. We learned by peer reviewed journals on the topic.