Starting with a solution that is 0.56 M KI prepare a solution that is 0.00014 M KI?

Question

No volume given! How should I proceed?

Answer 1

A solution of 0.56 M KI means that there is 0.56 mole of KI in a liter of solution. In a 0.00014 M solution the concentration is 4000 times less.
Therefore, take 1 mL of the original solution, which contains 0.56 / 1000 = 0.00056 mol of KI. Next add 4 liters of water.
The concentration is then 0.00056 mol / 4 Liter = 0.00014 mol/L or 0.00014 M.

Answer 2

For dilution always use the formula
C1V1=C2V2

You didn't define the final volume (V2)
Anyway,
C1=0.56
C2=0.00014
V2= the volume you want to prepare

Substitute and you find the volume V1 of the concentrated solution you need to use, expressed in the same units as V2.
From your numbers you need to do a C1/C2= 1/4000 dilution so it is best if you do it step-wise in order to minimize errors. E.g. you can do a 1:40 dilution and then a 1:100