During mitosis, it is possible that the cell division process fails to divide the replicated chromosomes accurately into two daughter cells. An error of this type will lead to the production of aneuploid cells. The cells will either be missing, or have gained a significant number of genes. This rare process can create cells that are more prone to unregulated cell division. As stated previously, a large percentage of cancers isolated from humans are aneuploid.
If a cell has a mutation in a gene whose protein product is responsible for 'checking' on the division process, things can rapidly get out of control and the daughter cells of each division can become increasingly abnormal.