1. **State the problem:** Multiply 614 by 15 using the standard multiplication algorithm. 2. **Write the multiplication:** $$614 \times 15$$ 3. **Multiply by the units digit (5):** $$614 \times 5 = 3070$$ 4. **Multiply by the tens digit (1, which represents 10):** $$614 \times 10 = 6140$$ 5. **Add the two partial products:** $$3070 + 6140 = 9210$$ 6. **Final answer:** $$614 \times 15 = 9210$$ This method breaks the multiplication into parts, multiplying by each digit of the second number and then adding the results.