Solution: 1. Set up the long multiplication. 2. Calculate 7 x 8, which is 56. Since 56 is two-digit, we carry the first digit 5 to the next column. 3. Calculate 6 x 8, which is 48. Now add the carry digit of 5, which is 53. Since 53 is two-digit, we carry the first digit 5 to the next column. 4. Calculate 5 x 8, which is 40. Now add the carry digit of 5, which is 45. Since 45 is two-digit, we carry the first digit 4 to the next column. 5. Calculate 4 x 8, which is 32. Now add the carry digit of 4, which is 36. Since 36 is two-digit, we carry the first digit 3 to the next column. 6. Bring down the carry digit of 3. 7. Calculate 7 x 5, which is 35. Since 35 is two-digit, we carry the first digit 3 to the next column. 8. Calculate 6 x 5, which is 30. Now add the carry digit of 3, which is 33. Since 33 is two-digit, we carry the first digit 3 to the next column. 9. Calculate 5 x 5, which is 25. Now add the carry digit of 3, which is 28. Since 28 is two-digit, we carry the first digit 2 to the next column. 10. Calculate 4 x 5, which is 20. Now add the carry digit of 2, which is 22. Since 22 is two-digit, we carry the first digit 2 to the next column. 11. Bring down the carry digit of 2. 12. Calculate 7 x 2, which is 14. Since 14 is two-digit, we carry the first digit 1 to the next column. 13. Calculate 6 x 2, which is 12. Now add the carry digit of 1, which is 13. Since 13 is two-digit, we carry the first digit 1 to the next column. 14. Calculate 5 x 2, which is 10. Now add the carry digit of 1, which is 11. Since 11 is two-digit, we carry the first digit 1 to the next column. 15. Calculate 4 x 2, which is 8. Now add the carry digit of 1, which is 9. 16. Calculate 7 x 3, which is 21. Since 21 is two-digit, we carry the first digit 2 to the next column. 17. Calculate 6 x 3, which is 18. Now add the carry digit of 2, which is 20. Since 20 is two-digit, we carry the first digit 2 to the next column. 18. Calculate 5 x 3, which is 15. Now add the carry digit of 2, which is 17. Since 17 is two-digit, we carry the first digit 1 to the next column. 19. Calculate 4 x 3, which is 12. Now add the carry digit of 1, which is 13. Since 13 is two-digit, we carry the first digit 1 to the next column. 20. Bring down the carry digit of 1. 21. Calculate 36536 + 228350 + 913400 + 13701000, which is 14879286 22. Place the decimal. 45.67 has 2 decimal places, and 32.58 has 2 decimal places. Therefore, the answer should have 2 + 2 = 4 decimal places. 23. Therefore, 45.67 x 32.58 = 1487.9286. 1487.92861487.9286 Done!