1. **State the problem:** Calculate the value of the expression $$4500 \div 9 - 5837 \div 13$$. 2. **Recall the division operation:** Division means splitting a number into equal parts. We will divide each number separately and then subtract the results. 3. **Calculate each division:** - $$4500 \div 9 = 500$$ because $9 \times 500 = 4500$. - $$5837 \div 13$$ needs to be calculated. 4. **Calculate $$5837 \div 13$$:** - Divide 5837 by 13. - $13 \times 449 = 5837$ exactly. - So, $$5837 \div 13 = 449$$. 5. **Subtract the results:** $$500 - 449 = 51$$. 6. **Final answer:** $$4500 \div 9 - 5837 \div 13 = 51$$.