Easy Solution is:
>>> string1 = 'AJYF'
>>> string2 = 'AJ'
>>> if string2 in string1:
... string1.replace(string2,'')
'YF'
>>>
Easy Solution is:
>>> string1 = 'AJYF'
>>> string2 = 'AJ'
>>> if string2 in string1:
... string1.replace(string2,'')
'YF'
>>>