Step 1 :Convert liters to milliliters by multiplying by 1000. So, \(1.87 \times 1000 = 1870\) milliliters.
Step 2 :Find out how many full servings of 180 milliliters can be poured from 1870 milliliters by dividing 1870 by 180. \(\frac{1870}{180} = 10.388888...\)
Step 3 :Since we can't pour a fraction of a serving, we round down to the nearest whole number. Therefore, the final answer is \(\boxed{10}\) full servings.