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~~# [Python 3], ~~49 47~~ 44 bytes~~
a=lambda x,y:(x>=0)*(1if y<0else 1+a(y,x-y))
_-3 bytes thanks to @Hakerh400‭_
[Try it online!][TIO-khkxumxy]
[Python 3]: https://docs.python.org/3/
[TIO-khkxumxy]: https://tio.run/##K6gsycjPM/7/P9E2JzE3KSVRoUKn0kqjws7WQFNLwzAzTaHSxiA1pzhVwVA7UaNSp0K3UlPzf0FRZl6JRqKGoZGBjoK5IVAEAA "Python 3 – Try It Online"
# [Python 2], 50 bytes
x,y=input()
a=0
while x>0:x,y,a=y,x-y,a+1
print(a)
An alternate solution I also came up with that I swear I should be able to make shorter, but can't think of it currently.
[Try it online!][TIO-khkt3pl0]
[Python 2]: https://docs.python.org/2/
[TIO-khkt3pl0]: https://tio.run/##K6gsycjPM/r/v0Kn0jYzr6C0REOTK9HWgKs8IzMnVaHCzsAKKKOTaFupU6ELpLUNuQqKMvNKNBI1//83NDLQMTcEAA "Python 2 – Try It Online"

# [Python 3], <strike>49 47</strike> 44 bytes
a=lambda x,y:(x>=0)*(1if y<0else 1+a(y,x-y))
_-3 bytes thanks to @Hakerh400‭_
[Try it online!][TIO-khkxumxy]
[Python 3]: https://docs.python.org/3/
[TIO-khkxumxy]: https://tio.run/##K6gsycjPM/7/P9E2JzE3KSVRoUKn0kqjws7WQFNLwzAzTaHSxiA1pzhVwVA7UaNSp0K3UlPzf0FRZl6JRqKGoZGBjoK5IVAEAA "Python 3 – Try It Online"
# [Python 2], 50 bytes
x,y=input()
a=0
while x>0:x,y,a=y,x-y,a+1
print(a)
An alternate solution I also came up with that I swear I should be able to make shorter, but can't think of it currently.
[Try it online!][TIO-khkt3pl0]
[Python 2]: https://docs.python.org/2/
[TIO-khkt3pl0]: https://tio.run/##K6gsycjPM/r/v0Kn0jYzr6C0REOTK9HWgKs8IzMnVaHCzsAKKKOTaFupU6ELpLUNuQqKMvNKNBI1//83NDLQMTcEAA "Python 2 – Try It Online"