diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 41ed3eecb..23b2ba6b4 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -403,9 +403,3 @@ jobs:
           files: |
             wasm/*.whl
           prerelease: ${{ contains(github.ref, 'alpha') || contains(github.ref, 'beta') }}
-
-      - name: upload wasm to pypi
-        run: twine upload wasm/*
-        env:
-          TWINE_USERNAME: __token__
-          TWINE_PASSWORD: ${{ secrets.pypi_token }}
diff --git a/Cargo.lock b/Cargo.lock
index 4b41fe63f..fd4904bd9 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -199,7 +199,7 @@ dependencies = [
 
 [[package]]
 name = "pydantic-core"
-version = "0.4.0"
+version = "0.4.1"
 dependencies = [
  "ahash",
  "enum_dispatch",
diff --git a/Cargo.toml b/Cargo.toml
index 240e09e7c..47e395eb5 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -1,6 +1,6 @@
 [package]
 name = "pydantic-core"
-version = "0.4.0"
+version = "0.4.1"
 edition = "2021"
 license = "MIT"
 homepage = "https://github.com/pydantic/pydantic-core"
diff --git a/src/validators/float.rs b/src/validators/float.rs
index 1d1208e21..c145cd787 100644
--- a/src/validators/float.rs
+++ b/src/validators/float.rs
@@ -87,7 +87,9 @@ impl Validator for ConstrainedFloatValidator {
             return Err(ValError::new(ErrorKind::FiniteNumber, input));
         }
         if let Some(multiple_of) = self.multiple_of {
-            if float % multiple_of != 0.0 {
+            let rem = float % multiple_of;
+            let threshold = float / 1e9;
+            if rem.abs() > threshold && (rem - multiple_of).abs() > threshold {
                 return Err(ValError::new(
                     ErrorKind::MultipleOf {
                         multiple_of: multiple_of.into(),
diff --git a/tests/validators/test_float.py b/tests/validators/test_float.py
index 8de986717..d02026970 100644
--- a/tests/validators/test_float.py
+++ b/tests/validators/test_float.py
@@ -84,26 +84,53 @@ def test_float_strict(py_and_json: PyAndJson, input_value, expected):
         ({'le': 0}, 0.1, Err('Input should be less than or equal to 0')),
         ({'lt': 0}, 0, Err('Input should be less than 0')),
         ({'lt': 0.123456}, 1, Err('Input should be less than 0.123456')),
-        ({'multiple_of': 0.5}, 0.5, 0.5),
-        ({'multiple_of': 0.5}, 1, 1),
-        ({'multiple_of': 0.5}, 0.6, Err('Input should be a multiple of 0.5')),
     ],
 )
 def test_float_kwargs(py_and_json: PyAndJson, kwargs: Dict[str, Any], input_value, expected):
     v = py_and_json({'type': 'float', **kwargs})
     if isinstance(expected, Err):
-        with pytest.raises(ValidationError, match=re.escape(expected.message)) as exc_info:
+        with pytest.raises(ValidationError, match=re.escape(expected.message)):
             v.validate_test(input_value)
-        errors = exc_info.value.errors()
-        assert len(errors) == 1
-        if 'context' in errors[0]:
-            assert errors[0]['context'] == kwargs
     else:
         output = v.validate_test(input_value)
         assert output == expected
         assert isinstance(output, float)
 
 
+@pytest.mark.parametrize(
+    'multiple_of,input_value,error',
+    [
+        (0.5, 0.5, None),
+        (0.5, 1, None),
+        (0.5, 0.6, Err('Input should be a multiple of 0.5')),
+        (0.5, 0.51, Err('Input should be a multiple of 0.5')),
+        (0.5, 0.501, Err('Input should be a multiple of 0.5')),
+        (0.5, 1_000_000.5, None),
+        (0.5, 1_000_000.49, Err('Input should be a multiple of 0.5')),
+        (0.1, 0, None),
+        (0.1, 0.0, None),
+        (0.1, 0.2, None),
+        (0.1, 0.3, None),
+        (0.1, 0.4, None),
+        (0.1, 0.5, None),
+        (0.1, 0.5001, Err('Input should be a multiple of 0.1')),
+        (0.1, 1, None),
+        (0.1, 1.0, None),
+        (0.1, int(5e10), None),
+    ],
+    ids=repr,
+)
+def test_float_multiple_of(py_and_json: PyAndJson, multiple_of, input_value, error):
+    v = py_and_json({'type': 'float', 'multiple_of': multiple_of})
+    if error:
+        with pytest.raises(ValidationError, match=re.escape(error.message)):
+            v.validate_test(input_value)
+    else:
+        output = v.validate_test(input_value)
+        assert output == input_value
+        assert isinstance(output, float)
+
+
 def test_union_float(py_and_json: PyAndJson):
     v = py_and_json(
         {'type': 'union', 'choices': [{'type': 'float', 'strict': True}, {'type': 'float', 'multiple_of': 7}]}