diff --git a/jsonschema/_keywords.py b/jsonschema/_keywords.py
index f30f9541..5c03e06d 100644
--- a/jsonschema/_keywords.py
+++ b/jsonschema/_keywords.py
@@ -169,21 +169,24 @@ def multipleOf(validator, dB, instance, schema):
         return
 
     if isinstance(dB, float):
-        quotient = instance / dB
-        try:
-            failed = int(quotient) != quotient
-        except OverflowError:
-            # When `instance` is large and `dB` is less than one,
-            # quotient can overflow to infinity; and then casting to int
-            # raises an error.
-            #
-            # In this case we fall back to Fraction logic, which is
-            # exact and cannot overflow.  The performance is also
-            # acceptable: we try the fast all-float option first, and
-            # we know that fraction(dB) can have at most a few hundred
-            # digits in each part.  The worst-case slowdown is therefore
-            # for already-slow enormous integers or Decimals.
-            failed = (Fraction(instance) / Fraction(dB)).denominator != 1
+        if dB.is_integer():
+            failed = instance % int(dB)
+        else:
+            quotient = instance / dB
+            try:
+                failed = int(quotient) != quotient
+            except OverflowError:
+                # When `instance` is large and `dB` is less than one,
+                # quotient can overflow to infinity; and then casting to int
+                # raises an error.
+                #
+                # In this case we fall back to Fraction logic, which is
+                # exact and cannot overflow.  The performance is also
+                # acceptable: we try the fast all-float option first, and
+                # we know that fraction(dB) can have at most a few hundred
+                # digits in each part.  The worst-case slowdown is therefore
+                # for already-slow enormous integers or Decimals.
+                failed = (Fraction(instance) / Fraction(dB)).denominator != 1
     else:
         failed = instance % dB
 
diff --git a/jsonschema/tests/test_validators.py b/jsonschema/tests/test_validators.py
index 7d8a4c5c..6ed9bdfc 100644
--- a/jsonschema/tests/test_validators.py
+++ b/jsonschema/tests/test_validators.py
@@ -1667,6 +1667,11 @@ def test_invalid_instances_are_not_valid(self):
         schema, instance = self.invalid
         self.assertFalse(self.Validator(schema).is_valid(instance))
 
+    def test_large_integer_multiple_of_integer_valued_float(self):
+        schema = {"type": "integer", "multipleOf": 11.0}
+        instance = 9007199254740995
+        self.assertTrue(self.Validator(schema).is_valid(instance))
+
     def test_non_existent_properties_are_ignored(self):
         self.Validator({object(): object()}).validate(instance=object())