1. The problem asks for the number of three-digit numbers divisible by 7. 2. Three-digit numbers range from 100 to 999. 3. Find the smallest three-digit number divisible by 7: divide 100 by 7. $$\frac{100}{7} \approx 14.2857$$ The next whole number is 15, so the smallest multiple is: $$15 \times 7 = 105$$ 4. Find the largest three-digit number divisible by 7: divide 999 by 7. $$\frac{999}{7} \approx 142.7143$$ The largest whole number less than or equal to this is 142, so the largest multiple is: $$142 \times 7 = 994$$ 5. The multiples of 7 between 105 and 994 inclusive are: $$7 \times 15, 7 \times 16, \ldots, 7 \times 142$$ 6. The count of these multiples is: $$142 - 15 + 1 = 128$$ 7. Therefore, there are 128 three-digit numbers divisible by 7.