Question

1. \\(41\enclose{longdiv}{278.8}\\)

Explanation:

Step1: Set up long division

We need to calculate $278.8 \div 41$. First, treat it as integer division temporarily by multiplying numerator and denominator by 10: $2788 \div 410$, or directly work with the decimal.

Step2: Divide 278 by 41

$41 \times 6 = 246$. Subtract this from 278: $278 - 246 = 32$.

Step3: Bring down the decimal digit

Bring down the 8 to get 328. Now calculate $328 \div 41$.

Step4: Solve for the decimal part

$41 \times 8 = 328$. Subtract: $328 - 328 = 0$.

Step5: Place the decimal point

Since we started with $278.8$, the decimal point goes after the 6, matching the original number's decimal position.

Answer:

$6.8$