43 ÷ 9 = 4 with remainder 7. Using the Vedic math method: sum the digits of 43 (4 + 3 = 7), which gives the remainder when dividing by 9. This works because of the mathematical property that the sum of digits modulo 9 equals the number itself modulo 9. 43 = 9 × 4 + 7, so the remainder is indeed 7. The other options (8, 5, 6) don't match this result.