your answer is correct
see if the below given solution helps the thinking process
As SOTTISES contains eight letters and HOROSCOPE nine, we have S is smaller than 2. As S is not zero, we get S=1. As SOTTISES ends with 1, HOROSCOPE ends with 5. So E = 5 and we have the last three digits of SOTTISES; multiplying them by 55, we obtain the last three digits of HOROSCOPE, which are P=0 and O=3. Having now the first two digits of SOTTISES, we find easily H=7. The available digits are 2, 4, 6, 8 and 9. If T=6, we find (with SOTT x 55) O=5, contradicting O=3. We then have T=2 or 4. But, with the samecalculation, T=2 implies R=7, and H is already 7. So T=4. As SOTT x 55=1344 x 55 = 73920, R=9. The remaining digits are easily found, and the complete solution is thus: P=0, S=1, I=2, O=3, T=4, E=5, H=7, C=8 and R=9, such that 13442515 x 55 = 739318305.