diff --git a/pyproject.toml b/pyproject.toml
index 52156528e..b993c2a2d 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -103,4 +103,5 @@ exclude_lines = [
     "pragma: nocover",
     "if typing.TYPE_CHECKING:",
     "@typing.overload",
+    "raise NotImplementedError",
 ]
diff --git a/starlette/responses.py b/starlette/responses.py
index fc92cbab1..b951e5125 100644
--- a/starlette/responses.py
+++ b/starlette/responses.py
@@ -374,13 +374,7 @@ async def _handle_simple(self, send: Send, send_header_only: bool) -> None:
                 while more_body:
                     chunk = await file.read(self.chunk_size)
                     more_body = len(chunk) == self.chunk_size
-                    await send(
-                        {
-                            "type": "http.response.body",
-                            "body": chunk,
-                            "more_body": more_body,
-                        }
-                    )
+                    await send({"type": "http.response.body", "body": chunk, "more_body": more_body})
 
     async def _handle_single_range(
         self, send: Send, start: int, end: int, file_size: int, send_header_only: bool
@@ -419,10 +413,12 @@ async def _handle_multiple_ranges(
         else:
             async with await anyio.open_file(self.path, mode="rb") as file:
                 for start, end in ranges:
-                    await file.seek(start)
-                    chunk = await file.read(min(self.chunk_size, end - start))
                     await send({"type": "http.response.body", "body": header_generator(start, end), "more_body": True})
-                    await send({"type": "http.response.body", "body": chunk, "more_body": True})
+                    await file.seek(start)
+                    while start < end:
+                        chunk = await file.read(min(self.chunk_size, end - start))
+                        start += len(chunk)
+                        await send({"type": "http.response.body", "body": chunk, "more_body": True})
                     await send({"type": "http.response.body", "body": b"\n", "more_body": True})
                 await send(
                     {
diff --git a/tests/middleware/test_base.py b/tests/middleware/test_base.py
index 15080e5c5..e2375a7b9 100644
--- a/tests/middleware/test_base.py
+++ b/tests/middleware/test_base.py
@@ -289,7 +289,7 @@ async def passthrough(
     }
 
     async def receive() -> Message:
-        raise NotImplementedError("Should not be called!")  # pragma: no cover
+        raise NotImplementedError("Should not be called!")
 
     async def send(message: Message) -> None:
         if message["type"] == "http.response.body":
@@ -330,7 +330,7 @@ async def passthrough(request: Request, call_next: RequestResponseEndpoint) -> R
     }
 
     async def receive() -> Message:
-        raise NotImplementedError("Should not be called!")  # pragma: no cover
+        raise NotImplementedError("Should not be called!")
 
     async def send(message: Message) -> None:
         if message["type"] == "http.response.body":
@@ -403,7 +403,7 @@ async def passthrough(
     }
 
     async def receive() -> Message:
-        raise NotImplementedError("Should not be called!")  # pragma: no cover
+        raise NotImplementedError("Should not be called!")
 
     async def send(message: Message) -> None:
         if message["type"] == "http.response.body":
diff --git a/tests/test_responses.py b/tests/test_responses.py
index 359516c75..645d26a68 100644
--- a/tests/test_responses.py
+++ b/tests/test_responses.py
@@ -4,7 +4,7 @@
 import time
 from http.cookies import SimpleCookie
 from pathlib import Path
-from typing import AsyncIterator, Iterator
+from typing import Any, AsyncIterator, Iterator
 
 import anyio
 import pytest
@@ -682,3 +682,58 @@ def test_file_response_insert_ranges(file_response_client: TestClient) -> None:
         "",
         f"--{boundary}--",
     ]
+
+
+@pytest.mark.anyio
+async def test_file_response_multi_small_chunk_size(readme_file: Path) -> None:
+    class SmallChunkSizeFileResponse(FileResponse):
+        chunk_size = 10
+
+    app = SmallChunkSizeFileResponse(path=str(readme_file))
+
+    received_chunks: list[bytes] = []
+    start_message: dict[str, Any] = {}
+
+    async def receive() -> Message:
+        raise NotImplementedError("Should not be called!")
+
+    async def send(message: Message) -> None:
+        if message["type"] == "http.response.start":
+            start_message.update(message)
+        elif message["type"] == "http.response.body":
+            received_chunks.append(message["body"])
+
+    await app({"type": "http", "method": "get", "headers": [(b"range", b"bytes=0-15,20-35,35-50")]}, receive, send)
+    assert start_message["status"] == 206
+
+    headers = Headers(raw=start_message["headers"])
+    assert headers.get("content-type") == "text/plain; charset=utf-8"
+    assert headers.get("accept-ranges") == "bytes"
+    assert "content-length" in headers
+    assert "last-modified" in headers
+    assert "etag" in headers
+    assert headers["content-range"].startswith("multipart/byteranges; boundary=")
+    boundary = headers["content-range"].split("boundary=")[1]
+
+    assert received_chunks == [
+        # Send the part headers.
+        f"--{boundary}\nContent-Type: text/plain; charset=utf-8\nContent-Range: bytes 0-15/526\n\n".encode(),
+        # Send the first chunk (10 bytes).
+        b"# B\xc3\xa1iZ\xc3\xa9\n",
+        # Send the second chunk (6 bytes).
+        b"\nPower",
+        # Send the new line to separate the parts.
+        b"\n",
+        # Send the part headers. We merge the ranges 20-35 and 35-50 into a single part.
+        f"--{boundary}\nContent-Type: text/plain; charset=utf-8\nContent-Range: bytes 20-50/526\n\n".encode(),
+        # Send the first chunk (10 bytes).
+        b"and exquis",
+        # Send the second chunk (10 bytes).
+        b"ite WSGI/A",
+        # Send the third chunk (10 bytes).
+        b"SGI framew",
+        # Send the last chunk (1 byte).
+        b"o",
+        b"\n",
+        f"\n--{boundary}--\n".encode(),
+    ]