diff --git a/maths/continued_fraction.py b/maths/continued_fraction.py
index 2c38bf88b1e9..165cb718d3b5 100644
--- a/maths/continued_fraction.py
+++ b/maths/continued_fraction.py
@@ -5,7 +5,6 @@
 """
 
 from fractions import Fraction
-from math import floor
 
 
 def continued_fraction(num: Fraction) -> list[int]:
@@ -35,11 +34,13 @@ def continued_fraction(num: Fraction) -> list[int]:
     [0, 1, 3]
     >>> continued_fraction(Fraction("-2.25"))    # -2.25 = -3 + 0.75
     [-3, 1, 3]
+    >>> continued_fraction(Fraction(2**53 + 3))
+    [9007199254740995]
     """
     numerator, denominator = num.as_integer_ratio()
     continued_fraction_list: list[int] = []
     while True:
-        integer_part = floor(numerator / denominator)
+        integer_part = numerator // denominator
         continued_fraction_list.append(integer_part)
         numerator -= integer_part * denominator
         if numerator == 0: