3rd input (y) fires an "except". the code still shows an error for the variable "product"

name = input("In case of emergency, what is your name? ")
try:
  x = int(input("Please enter a number: "))
  y = int(input("Please enter any number besides 0, and less than the last number: "))
  product = x % y
except ValueError:
  print("Sleep with one nostril open tonight")
except ZeroDivisionError:
  print("%s, You fool! you've messed with the natural order!" % (name))
if y > x:
  print("This is the FBI. stay right where you are, criminal scum")
else:
  print("the remainder of %d being divided by %d is %d" % (x, y, product))

So, when the user submits the 3rd input, (y = int.....) and when they input 0, I just want the console to display the "except ZeroDivisionError:" message. but if that happens, the code still tries to find the product, which was undefined because of the zerodivisionerror.

this is the console at the end:

In case of emergency, what is your name? mat
Please enter a number: 245
Please enter any number besides 0, and less than the last number: 0
mat, You fool! you've messed with the natural order!
Traceback (most recent call last):
File "something_special.py", line 13, in <module>
print("the remainder of %d being divided by %d is %d" % (x, y, product))
NameError: name 'product' is not defined