Step 1: Understand the cell division processes.
- Mitosis is the process by which somatic cells divide to form two identical daughter cells, and it is the mechanism through which most cancer cells divide.
- Amitosis is a direct form of cell division where the nucleus divides without the typical stages of mitosis, and it is not typical for cancer cells.
- Meiosis is a type of cell division that reduces the chromosome number by half and is involved in gamete formation, not in cancer cell division.
Step 2: Review the options.
- Cancer cells primarily divide through mitosis, which leads to the uncontrolled growth characteristic of tumors.
- Amitosis and meiosis do not play a major role in the division of cancer cells.
- "None of these" is incorrect because mitosis is the correct answer.
Step 3: Conclude.
Cancer cells divide through mitosis, making option (A) the correct answer.
Final Answer:
\[
\boxed{\text{Mitosis}}
\]