diff --git a/rest_framework/pagination.py b/rest_framework/pagination.py
index b2255a212..153a77d33 100644
--- a/rest_framework/pagination.py
+++ b/rest_framework/pagination.py
@@ -36,10 +36,11 @@ def _positive_int(integer_string, strict=False, cutoff=None):
 
 def _divide_with_ceil(a, b):
     """
-    Returns 'a' divded by 'b', with any remainder rounded up.
+    Returns 'a' divided by 'b', with any remainder rounded up.
     """
     if a % b:
         return (a // b) + 1
+
     return a // b
 
 
@@ -358,17 +359,24 @@ class LimitOffsetPagination(BasePagination):
 
     def get_html_context(self):
         base_url = self.request.build_absolute_uri()
-        current = _divide_with_ceil(self.offset, self.limit) + 1
-        # The number of pages is a little bit fiddly.
-        # We need to sum both the number of pages from current offset to end
-        # plus the number of pages up to the current offset.
-        # When offset is not strictly divisible by the limit then we may
-        # end up introducing an extra page as an artifact.
-        final = (
-            _divide_with_ceil(self.count - self.offset, self.limit) +
-            _divide_with_ceil(self.offset, self.limit)
-        )
-        if final < 1:
+
+        if self.limit:
+            current = _divide_with_ceil(self.offset, self.limit) + 1
+
+            # The number of pages is a little bit fiddly.
+            # We need to sum both the number of pages from current offset to end
+            # plus the number of pages up to the current offset.
+            # When offset is not strictly divisible by the limit then we may
+            # end up introducing an extra page as an artifact.
+            final = (
+                _divide_with_ceil(self.count - self.offset, self.limit) +
+                _divide_with_ceil(self.offset, self.limit)
+            )
+
+            if final < 1:
+                final = 1
+        else:
+            current = 1
             final = 1
 
         if current > final:
diff --git a/tests/test_pagination.py b/tests/test_pagination.py
index 1c74e837c..ba3cc7037 100644
--- a/tests/test_pagination.py
+++ b/tests/test_pagination.py
@@ -505,6 +505,31 @@ class TestLimitOffset:
         assert content.get('next') == next_url
         assert content.get('previous') == prev_url
 
+    def test_limit_zero(self):
+        """
+        A limit of 0 should return empty results.
+        """
+        request = Request(factory.get('/', {'limit': 0, 'offset': 10}))
+        queryset = self.paginate_queryset(request)
+        context = self.get_html_context()
+        content = self.get_paginated_content(queryset)
+
+        assert context == {
+            'previous_url': 'http://testserver/?limit=0&offset=10',
+            'page_links': [
+                PageLink(
+                    url='http://testserver/?limit=0',
+                    number=1,
+                    is_active=True,
+                    is_break=False
+                )
+            ],
+            'next_url': 'http://testserver/?limit=0&offset=10'
+        }
+
+        assert queryset == []
+        assert content.get('results') == []
+
 
 class TestCursorPagination:
     """