Question

1. \\(\

$$\begin{array}{r} 48 \\ 94 \\enclose{longdiv}{4,552} \\end{array}$$

\\)

Explanation:

Step1: Check divisor and dividend

We verify if $94 \times 48$ equals $4552$. First calculate $94 \times 40$:
$94 \times 40 = 3760$

Step2: Calculate remaining product

Next calculate $94 \times 8$:
$94 \times 8 = 752$

Step3: Sum the two products

Add the results from Step1 and Step2:
$3760 + 752 = 4512$

Step4: Find the remainder

Subtract the total from Step3 from the dividend $4552$:
$4552 - 4512 = 40$

Step5: Correct the quotient

Since the remainder is 40, the correct quotient is $48 + \frac{40}{94}$, or we find the whole number quotient:
$94 \times 48 = 4512$, $94 \times 49 = 4512 + 94 = 4606$ which is larger than 4552, so the correct whole number quotient with remainder is 48 remainder 40, or the exact value is $48 + \frac{20}{47}$.

Answer:

The division gives a quotient of 48 with a remainder of 40, or the exact value is $\frac{2276}{47}$ (simplified from $\frac{4552}{94}$)