1.
If you put something aside, you keep it to be dealt with or used at a later time.
She took up a slice of bread, broke it nervously, then put it aside...
Encourage children to ~ some of their pocket-money to buy Christmas presents.
PHRASAL VERB: V n P, V P n (not pron)
2.
If you put a feeling or disagreement aside, you forget about it or ignore it in order to solve a problem or argument.
We should ~ our differences and discuss the things we have in common...
We admitted that the attraction was there, but decided that we would put the feelings aside.
= forget about
PHRASAL VERB: V P n (not pron), V n P