(A) To find the number of integers up to $100$ that are divisible by $7$,we perform the division $100 \div 7$.The quotient obtained is $14$ with a rem

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(A) To find the number of integers up to $100$ that are divisible by $7$,we perform the division $100 \div 7$.The quotient obtained is $14$ with a remainder of $2$ $(100 = 7 \times 14 + 2)$.Therefore,there are $14$ multiples of $7$ between $1$ and $100$ (i.e.,$7, 14, 21, \dots, 98$).