1. **State the problem:** Calculate the product of 209 and 37. 2. **Formula used:** Multiplication of two numbers $a$ and $b$ is given by $a \times b$. 3. **Calculate step-by-step:** $$209 \times 37$$ Break down 37 as $30 + 7$: $$209 \times (30 + 7) = 209 \times 30 + 209 \times 7$$ Calculate each term: $$209 \times 30 = 6270$$ $$209 \times 7 = 1463$$ 4. **Add the results:** $$6270 + 1463 = 7733$$ 5. **Final answer:** $$209 \times 37 = 7733$$