exam Maths Puzzle Numerical Ability

Can someone show explain how to use long division to solve the following?
z^3 + 1 / z + 1

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exam Other Question

Add or subtract the fractions then simplify using the Pythagorean identities and factoring to find the expression that completes the identity.

sinx/(cosx+1) + (cosx+1)/sin x

Please show me the steps. Thank you! THERE IS A TRAIN TRAVELING AT 50 MILES AN HOUR HEADING EAST.. THE WINDS ARE 12 MILES AN HOUR.. HOW LONG WILL IT TAKE TO TRAVEL 100 MILES TO THE STATION..