1. State the problem: Multiply 8843 by 53. 2. Write the multiplication vertically: $$\begin{array}{r} 8843 \\ \times 53 \\ \hline \end{array}$$ 3. Multiply 8843 by 3 (units digit of 53): $$8843 \times 3 = 26529$$ 4. Multiply 8843 by 5 (tens digit of 53), remember to shift one position to the left: $$8843 \times 5 = 44215$$ Shifted left (multiply by 50): $$44215 \times 10 = 442150$$ 5. Add the two partial products: $$26529 + 442150 = 468679$$ 6. Final answer: $$8843 \times 53 = 468679$$