diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index 11890aa26..23c155d06 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -5,7 +5,6 @@ repos:
     - id: black
       args: [--safe, --quiet]
       exclude: functional|input|test/extension|test/regrtest_data|test/data
-      python_version: python3.6
 -   repo: https://github.com/pre-commit/pre-commit-hooks
     rev: v2.1.0
     hooks:
diff --git a/pylint/checkers/python3.py b/pylint/checkers/python3.py
index 5ee6cdceb..69776fbca 100644
--- a/pylint/checkers/python3.py
+++ b/pylint/checkers/python3.py
@@ -1069,14 +1069,18 @@ class Python3Checker(checkers.BaseChecker):
         if not self._future_division and node.op == "/":
             for arg in (node.left, node.right):
                 inferred = utils.safe_infer(arg)
-                # If we can infer the object and that object is not a numeric one, bail out.
+                # If we can infer the object and that object is not an int, bail out.
                 if inferred and not (
-                    isinstance(inferred, astroid.Const)
-                    and isinstance(inferred.value, (int, float))
+                    (
+                        isinstance(inferred, astroid.Const)
+                        and isinstance(inferred.value, int)
+                    )
+                    or (
+                        isinstance(inferred, astroid.Instance)
+                        and inferred.name == "int"
+                    )
                 ):
                     break
-                if isinstance(arg, astroid.Const) and isinstance(arg.value, float):
-                    break
             else:
                 self.add_message("old-division", node=node)
 
diff --git a/pylint/test/unittest_checker_python3.py b/pylint/test/unittest_checker_python3.py
index 417bc2bb6..2fa8fca29 100644
--- a/pylint/test/unittest_checker_python3.py
+++ b/pylint/test/unittest_checker_python3.py
@@ -456,10 +456,19 @@ class TestPython3Checker(testutils.CheckerTestCase):
             self.checker.visit_importfrom(node)
 
     def test_division(self):
-        node = astroid.extract_node("3 / 2  #@")
-        message = testutils.Message("old-division", node=node)
-        with self.assertAddsMessages(message):
-            self.checker.visit_binop(node)
+        nodes = astroid.extract_node(
+            """\
+            from _unknown import a, b
+            3 / 2  #@
+            3 / int(a) #@
+            int(a) / 3 #@
+            a / b #@
+            """
+        )
+        for node in nodes:
+            message = testutils.Message("old-division", node=node)
+            with self.assertAddsMessages(message):
+                self.checker.visit_binop(node)
 
     def test_division_with_future_statement(self):
         module = astroid.parse("from __future__ import division; 3 / 2")
@@ -472,10 +481,16 @@ class TestPython3Checker(testutils.CheckerTestCase):
             self.checker.visit_binop(node)
 
     def test_division_by_float(self):
-        left_node = astroid.extract_node("3.0 / 2 #@")
-        right_node = astroid.extract_node(" 3 / 2.0  #@")
+        nodes = astroid.extract_node(
+            """\
+            3.0 / 2  #@
+            3 / 2.0  #@
+            3 / float(a)  #@
+            float(a) / 3  #@
+            """
+        )
         with self.assertNoMessages():
-            for node in (left_node, right_node):
+            for node in nodes:
                 self.checker.visit_binop(node)
 
     def test_division_different_types(self):