Moving values from one list to new list

I am practicing coding and I would like some help. Here is the prompt: Take a list, say for example this one:

a = [1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89] and write a program that prints out all the elements of the list that are less than 5.

Extras:

1. Instead of printing the elements one by one make a new list that has all the elements less than 5 from this list in it and print out this new list.
2. Write this in one line of Python.
3. Ask the user for a number and return a list that contains only elements from the original list 'a' that are smaller than that number given by the user.

Here is my code:

a = [1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89]
number = int(input("Pick a number: "))
new_list = []
for item in a:
    if item < number:
        new_list.append(item)
    print(new_list)

The problem I keep running into is whenever I run it and use any number (In this case, I chose 5), I keep getting this result:

Pick a number: 5
[1]
[1, 1]
[1, 1, 2]
[1, 1, 2, 3]
[1, 1, 2, 3]
[1, 1, 2, 3]
[1, 1, 2, 3]
[1, 1, 2, 3]
[1, 1, 2, 3]
[1, 1, 2, 3]
[1, 1, 2, 3]

Can someone please help me?