Question

divide. give the exact answer, written as a decimal.
$\dfrac{79.809}{0.185}$

Explanation:

Step1: Eliminate decimals in divisor

Multiply dividend and divisor by 1000:
$$\frac{79.809 \times 1000}{0.185 \times 1000} = \frac{79809}{185}$$

Step2: Perform long division

Calculate $79809 \div 185$:
$185 \times 431 = 185 \times (400+30+1) = 74000 + 5550 + 185 = 79735$
$79809 - 79735 = 74$
$\frac{74}{185} = 0.4$
Combine: $431 + 0.4 = 431.4$

Answer:

431.4