String index out of range

[felie04]

Hello,
I just started learning to code and I was doing my homework, I ran into an error.
The error is saying this:

Traceback (most recent call last):
File "/Users/daphne/Desktop/School Stuff/Computer science/IntroProg/Project/test3.py", line 8, in <module>
if nom[i] == char:
IndexError: string index out of range

I know it is related to my "nom[i]", but I don't know how to fix. If anyone could help me out, I would really appreciate!

Here is my code:

nom = input('Enter a name:')
length = len(nom)
i = 0
nb_e = 0
char = 'e'

while i <= length:
    if nom[i] == char:
        nb_e = nb_e + 1
    i = i + 1
print('Theres', nb_e, 'e')