Yes - you will be eligible for dividends if and when a company pays them. Dividends are subject to a withholding tax and this tax is deducted at source (which means it is a tax you have to pay no matter what). For fractional positions, dividends may not be paid - it really depends on the size of your position. If the dividend you are due to receive is less than US$0.01, you will not receive anything (as no-one is able to pay a fraction of a cent!)