There are 1000 micrograms in every milligram, so you divide the amount in micrograms by 1000 to get the amount in milligrams.
Think about it this way: A milligram is bigger, so there has to be more micrograms to make up for this. Also remember, that mcro, by SI convention means 0.000001, or a millionth (of a gram) and milli means 0.001. 0.001/0.000001 is 0.001. So this means a microgram is 0.001 milligrams, 0.001 milligrams to get this to 1 milligram, you have to multiply by 1000. Therefore you have 1 milligram equals 1000 micrograms.
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1 milligram = 1,000 micrograms
1 microgram = 0.001 milligram
Multiply milligrams by 1,000 to get micrograms.