into, in to

Into or into ( one word ) means within or inside of; included, literally or figuratively--
Just walk into his office, and tell him you quit.
Plug that into the outlet in the kitchen.
He has been voted into our club.
Into also means up against or to a point of contact, literally or figuratively--
He backed the car into a pole.
I ran into her at the store; she can't babysit.
Into may mean towards, or in the direction of--
Don't spit into the wind.
Speak into the microphone.
Look into my eyes.
Into also means brought to a state, form, or condition--
He went into shock when he heard the news.
Has this been translated into English?
She coaxed him into it.
A witch cast a spell on him, and turned him into a toad.
Into is also a 60's slang term for interested in or fond of--
He's into surfing; he thinks it's groovy.
He's just not that into you.
Into may also be used to talk about division problems ( math ) --
Five goes into thirty-five seven times.

In to or in to ( two words ) , used with a verb ( action word ) means enter or go within for the purpose or intention of ( to )--
She went in to see what's on television.
In to may also mean to insert or place within, for the purpose or intention of--
Plug this in to see if it works.

Now that you know that, you can say--
"She looked in to see if they were behaving, and they all hopped back into their seats."

Note--In two  ( two words ) means divided or broken in half--
Why don't you break that in two and share it?
In two may also mean
We'll be back in two hours.
Note # 2--In too ( two words ) describes a state or condition of excess--
He can't come out; he's in too much trouble.
You put in too much salt.
Note # 3--Not to be confused with "intuit", meaning to know through insight, without reasoning--
Did you intuit that, or did you hear her say it?