Question

enter the correct answer. find the quotient using the standard algorithm. \\(\

$$\begin{array}{r}\\ ?\\text{ r }\\square\\\\45\\enclose{longdiv}{785}\\end{array}$$

\\)

Explanation:

Step1: Divide 78 by 45

45 goes into 78 once (since \( 45\times1 = 45 \), \( 45\times2 = 90>78 \)). So we write 1 above the 8 in 785. Then subtract \( 45\times1 = 45 \) from 78: \( 78 - 45 = 33 \).

Step2: Bring down the 5

Now we have 335. We divide 335 by 45. \( 45\times7 = 315 \), \( 45\times8 = 360>335 \), so we write 7 next to the 1, making the quotient so far 17. Then subtract \( 45\times7 = 315 \) from 335: \( 335 - 315 = 20 \).

Step3: Determine quotient and remainder

The quotient from the division is 17, and the remainder is 20 (since we can't divide 20 by 45 further).

Answer:

The quotient is 17 with a remainder of 20, so the answer for the quotient (the "?") is 17.