Find the quotient $$ q $$ and a remainder $$ r $$ when $$ a $$ is divided by $$ b $$, and write the result in the form $$ a=b q+r $$ of the division algorithm for the given choices of $$ a $$ and $$ b $$. $$ a=115, b=8 $$ A. $$ 115=(8)(14) $$ B. $$ 115=(8)(14)+3 $$ C. $$ 115=(8)(17) $$ D. $$ 115=(8)(14)+7 $$

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We begin by determining the quotient $$ q $$ and the remainder $$ r $$ when dividing $$ a=115 $$ by $$ b=8 $$.

1. First, calculate the quotient:
   $$
   q = \left\lfloor \frac{115}{8} \right\rfloor = 14
   $$

2. Next, calculate the remainder:
   $$
   r = 115 - (8 \times 14) = 115 - 112 = 3
   $$

Thus, the division algorithm gives:
$$
115 = 8 \times 14 + 3
$$

The correct choice is:

B. $$ 115=(8)(14)+3 $$
The correct answer is $$ 115 = 8 \times 14 + 3 $$, which is choice B.

Find the quotient and a remainder when is divided by , and write the result in the form of the division algorithm for the given choices of and .

A.
B.
C.
D.

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