diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index d9119ba..28d220d 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -8,8 +8,9 @@ jobs:
   build:
     runs-on: ubuntu-latest
     strategy:
+      fail-fast: false
       matrix:
-        python-version: ["3.8", "3.9", "3.10", "3.11", "3.12"]
+        python-version: ["3.8", "3.9", "3.10", "3.11", "3.12", "3.13"]
 
     steps:
       - uses: actions/checkout@v4
diff --git a/README.md b/README.md
index 5cf9acd..43e2c87 100644
--- a/README.md
+++ b/README.md
@@ -29,9 +29,13 @@ Usage
 -----
 
 In `settings.py`, add `binary_database_files` to your `INSTALLED_APPS` and add
-this line:
+this:
 
-    DEFAULT_FILE_STORAGE = 'binary_database_files.storage.DatabaseStorage'
+    STORAGES = {
+        "default": {
+            "BACKEND": "binary_database_files.storage.DatabaseStorage"
+        }
+    }
 
 Note, the `upload_to` parameter is still used to synchronize the files stored
 in the database with those on the file system, so new and existing fields
diff --git a/binary_database_files/tests/tests.py b/binary_database_files/tests/tests.py
index 5854175..04fdd37 100644
--- a/binary_database_files/tests/tests.py
+++ b/binary_database_files/tests/tests.py
@@ -6,6 +6,7 @@
 from io import BytesIO
 from zipfile import ZipFile
 
+import django
 from django.conf import settings
 from django.core import files
 from django.core.files import File as DjangoFile
@@ -23,10 +24,20 @@
 
 DIR = os.path.abspath(os.path.split(__file__)[0])
 
-set_default_file_storage = functools.partial(
-    override_settings,
-    DEFAULT_FILE_STORAGE="binary_database_files.storage.DatabaseStorage",
-)
+if django.VERSION <= (4, 2):
+    # DEFAULT_FILE_STORAGE was deprecated in 4.2 (https://https://docs.djangoproject.com/en/dev/releases/4.2/#id1)
+    # remove this when 4.2 is not supported anymore
+    set_default_file_storage = functools.partial(
+        override_settings,
+        DEFAULT_FILE_STORAGE="binary_database_files.storage.DatabaseStorage",
+    )
+else:
+    set_default_file_storage = functools.partial(
+        override_settings,
+        STORAGES={
+            "default": {"BACKEND": "binary_database_files.storage.DatabaseStorage"}
+        },
+    )
 
 
 class DatabaseFilesTestCase(TestCase):
diff --git a/setup.py b/setup.py
index c08f443..33ae1eb 100644
--- a/setup.py
+++ b/setup.py
@@ -52,16 +52,14 @@ def get_reqs(*fns):
         "Programming Language :: Python :: 3.10",
         "Programming Language :: Python :: 3.11",
         "Programming Language :: Python :: 3.12",
-        "Framework :: Django :: 2.2",
-        "Framework :: Django :: 3.0",
-        "Framework :: Django :: 3.1",
-        "Framework :: Django :: 3.2",
-        "Framework :: Django :: 4.0",
-        "Framework :: Django :: 5.0",
+        "Programming Language :: Python :: 3.13",
+        "Framework :: Django :: 4.2",
+        "Framework :: Django :: 5.1",
+        "Framework :: Django :: 5.2",
     ],
     install_requires=get_reqs(
         "pip-requirements.txt",
     ),
     tests_require=get_reqs("pip-requirements-test.txt"),
-    python_requires=">=3.6,<3.13",
+    python_requires=">=3.6",
 )
diff --git a/tox.ini b/tox.ini
index 93d4ac5..d0d558a 100644
--- a/tox.ini
+++ b/tox.ini
@@ -4,7 +4,7 @@ ignore = W503, E203 # See https://github.com/PyCQA/pycodestyle/issues/373
 max-line-length=160
 
 [tox]
-envlist = py{38,39,310,311,312}-django{32,40},py{310,311,312}-django{50}
+envlist = py{38,39,310,311,312}-django{42},py{310,311,312}-django{50},py{310,311,312,313}-django{51,52}
 recreate = True
 
 [gh-actions]
@@ -14,6 +14,7 @@ python =
     3.10: py310
     3.11: py311
     3.12: py312
+    3.13: py313
 
 [testenv]
 basepython =
@@ -22,12 +23,11 @@ basepython =
     py310: python3.10
     py311: python3.11
     py312: python3.12
+    py313: python3.13
 deps =
     -r{toxinidir}/pip-requirements-test.txt
-    django22: Django>=2.2,<2.3
-    django30: Django>=3.0,<3.1
-    django31: Django>=3.1,<3.2
-    django32: Django>=3.2,<3.3
-    django40: Django>=4.0,<5.0
-    django50: Django>=5.0,<6.0
+    django42: Django==4.2.*
+    django50: Django==5.0.*
+    django51: Django==5.1.*
+    django52: Django==5.2.*
 commands = django-admin test --traceback --pythonpath=. --settings=binary_database_files.tests.settings binary_database_files.tests.tests.DatabaseFilesTestCase{env:TESTNAME:}