diff --git a/libc/config/linux/aarch64/entrypoints.txt b/libc/config/linux/aarch64/entrypoints.txt
index 7ea70cad55a561..381061ce3fcbf0 100644
--- a/libc/config/linux/aarch64/entrypoints.txt
+++ b/libc/config/linux/aarch64/entrypoints.txt
@@ -537,6 +537,7 @@ if(LIBC_TYPES_HAS_FLOAT16)
     # libc.src.math.nexttowardf16
     libc.src.math.nextupf16
     libc.src.math.remainderf16
+    libc.src.math.remquof16
     libc.src.math.rintf16
     libc.src.math.roundf16
     libc.src.math.roundevenf16
diff --git a/libc/config/linux/x86_64/entrypoints.txt b/libc/config/linux/x86_64/entrypoints.txt
index d2b73066ab04c4..e99960b12441da 100644
--- a/libc/config/linux/x86_64/entrypoints.txt
+++ b/libc/config/linux/x86_64/entrypoints.txt
@@ -567,6 +567,7 @@ if(LIBC_TYPES_HAS_FLOAT16)
     libc.src.math.nexttowardf16
     libc.src.math.nextupf16
     libc.src.math.remainderf16
+    libc.src.math.remquof16
     libc.src.math.rintf16
     libc.src.math.roundf16
     libc.src.math.roundevenf16
diff --git a/libc/docs/math/index.rst b/libc/docs/math/index.rst
index 23e1555b531be9..f83a646c34b57c 100644
--- a/libc/docs/math/index.rst
+++ b/libc/docs/math/index.rst
@@ -200,7 +200,7 @@ Basic Operations
 +------------------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
 | remainder        | |check|          | |check|         | |check|                | |check|              |                        | 7.12.10.2              | F.10.7.2                   |
 +------------------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| remquo           | |check|          | |check|         | |check|                |                      | |check|                | 7.12.10.3              | F.10.7.3                   |
+| remquo           | |check|          | |check|         | |check|                | |check|              | |check|                | 7.12.10.3              | F.10.7.3                   |
 +------------------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
 | rint             | |check|          | |check|         | |check|                | |check|              | |check|                | 7.12.9.4               | F.10.6.4                   |
 +------------------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
diff --git a/libc/spec/stdc.td b/libc/spec/stdc.td
index 430ed405f3fbea..34169948fc6d27 100644
--- a/libc/spec/stdc.td
+++ b/libc/spec/stdc.td
@@ -586,10 +586,11 @@ def StdC : StandardSpec<"stdc"> {
           FunctionSpec<"remainderl", RetValSpec<LongDoubleType>, [ArgSpec<LongDoubleType>, ArgSpec<LongDoubleType>]>,
           GuardedFunctionSpec<"remainderf16", RetValSpec<Float16Type>, [ArgSpec<Float16Type>, ArgSpec<Float16Type>], "LIBC_TYPES_HAS_FLOAT16">,
 
-          FunctionSpec<"remquof", RetValSpec<FloatType>, [ArgSpec<FloatType>, ArgSpec<FloatType>, ArgSpec<IntPtr>]>,
-          GuardedFunctionSpec<"remquof128", RetValSpec<Float128Type>, [ArgSpec<Float128Type>, ArgSpec<Float128Type>, ArgSpec<IntPtr>], "LIBC_TYPES_HAS_FLOAT128">,
           FunctionSpec<"remquo", RetValSpec<DoubleType>, [ArgSpec<DoubleType>, ArgSpec<DoubleType>, ArgSpec<IntPtr>]>,
+          FunctionSpec<"remquof", RetValSpec<FloatType>, [ArgSpec<FloatType>, ArgSpec<FloatType>, ArgSpec<IntPtr>]>,
           FunctionSpec<"remquol", RetValSpec<LongDoubleType>, [ArgSpec<LongDoubleType>, ArgSpec<LongDoubleType>, ArgSpec<IntPtr>]>,
+          GuardedFunctionSpec<"remquof16", RetValSpec<Float16Type>, [ArgSpec<Float16Type>, ArgSpec<Float16Type>, ArgSpec<IntPtr>], "LIBC_TYPES_HAS_FLOAT16">,
+          GuardedFunctionSpec<"remquof128", RetValSpec<Float128Type>, [ArgSpec<Float128Type>, ArgSpec<Float128Type>, ArgSpec<IntPtr>], "LIBC_TYPES_HAS_FLOAT128">,
 
           FunctionSpec<"round", RetValSpec<DoubleType>, [ArgSpec<DoubleType>]>,
           FunctionSpec<"roundf", RetValSpec<FloatType>, [ArgSpec<FloatType>]>,
diff --git a/libc/src/math/CMakeLists.txt b/libc/src/math/CMakeLists.txt
index 6947e10bceadca..82dfdaf479ff00 100644
--- a/libc/src/math/CMakeLists.txt
+++ b/libc/src/math/CMakeLists.txt
@@ -321,6 +321,7 @@ add_math_entrypoint_object(remquo)
 add_math_entrypoint_object(remquof)
 add_math_entrypoint_object(remquof128)
 add_math_entrypoint_object(remquol)
+add_math_entrypoint_object(remquof16)
 
 add_math_entrypoint_object(rint)
 add_math_entrypoint_object(rintf)
diff --git a/libc/src/math/generic/CMakeLists.txt b/libc/src/math/generic/CMakeLists.txt
index 24bf06ffab2c3e..c56ad016821190 100644
--- a/libc/src/math/generic/CMakeLists.txt
+++ b/libc/src/math/generic/CMakeLists.txt
@@ -2534,6 +2534,19 @@ add_entrypoint_object(
     -O2
 )
 
+add_entrypoint_object(
+  remquof16
+  SRCS
+    remquof16.cpp
+  HDRS
+    ../remquof16.h
+  DEPENDS
+    libc.src.__support.macros.properties.types
+    libc.src.__support.FPUtil.division_and_remainder_operations
+  COMPILE_OPTIONS
+    -O2
+)
+
 add_entrypoint_object(
   remainderf
   SRCS
diff --git a/libc/src/math/generic/remquof16.cpp b/libc/src/math/generic/remquof16.cpp
new file mode 100644
index 00000000000000..a373bfa58651bb
--- /dev/null
+++ b/libc/src/math/generic/remquof16.cpp
@@ -0,0 +1,19 @@
+//===-- Implementation of remquof16 function ------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#include "src/math/remquof16.h"
+#include "src/__support/FPUtil/DivisionAndRemainderOperations.h"
+#include "src/__support/common.h"
+
+namespace LIBC_NAMESPACE {
+
+LLVM_LIBC_FUNCTION(float16, remquof16, (float16 x, float16 y, int *exp)) {
+  return fputil::remquo(x, y, *exp);
+}
+
+} // namespace LIBC_NAMESPACE
diff --git a/libc/src/math/remquof16.h b/libc/src/math/remquof16.h
new file mode 100644
index 00000000000000..fee848c955a018
--- /dev/null
+++ b/libc/src/math/remquof16.h
@@ -0,0 +1,20 @@
+//===-- Implementation header for remquof16 ---------------------*- C++ -*-===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef LLVM_LIBC_SRC_MATH_REMQUOF16_H
+#define LLVM_LIBC_SRC_MATH_REMQUOF16_H
+
+#include "src/__support/macros/properties/types.h"
+
+namespace LIBC_NAMESPACE {
+
+float16 remquof16(float16 x, float16 y, int *exp);
+
+} // namespace LIBC_NAMESPACE
+
+#endif // LLVM_LIBC_SRC_MATH_REMQUOF16_H
diff --git a/libc/test/src/math/smoke/CMakeLists.txt b/libc/test/src/math/smoke/CMakeLists.txt
index 84aa76c0a08810..75e2bdd7be100a 100644
--- a/libc/test/src/math/smoke/CMakeLists.txt
+++ b/libc/test/src/math/smoke/CMakeLists.txt
@@ -2608,7 +2608,6 @@ add_fp_unittest(
     RemQuoTest.h
   DEPENDS
     libc.src.math.remquof
-    libc.src.__support.FPUtil.basic_operations
     libc.src.__support.FPUtil.fp_bits
 )
 
@@ -2636,7 +2635,6 @@ add_fp_unittest(
     RemQuoTest.h
   DEPENDS
     libc.src.math.remquo
-    libc.src.__support.FPUtil.basic_operations
     libc.src.__support.FPUtil.fp_bits
 )
 
@@ -2650,7 +2648,19 @@ add_fp_unittest(
     RemQuoTest.h
   DEPENDS
     libc.src.math.remquol
-    libc.src.__support.FPUtil.basic_operations
+    libc.src.__support.FPUtil.fp_bits
+)
+
+add_fp_unittest(
+  remquof16_test
+  SUITE
+    libc-math-smoke-tests
+  SRCS
+    remquof16_test.cpp
+  HDRS
+    RemQuoTest.h
+  DEPENDS
+    libc.src.math.remquof16
     libc.src.__support.FPUtil.fp_bits
 )
 
diff --git a/libc/test/src/math/smoke/RemQuoTest.h b/libc/test/src/math/smoke/RemQuoTest.h
index 43eee3d38e4495..e9263263dfb247 100644
--- a/libc/test/src/math/smoke/RemQuoTest.h
+++ b/libc/test/src/math/smoke/RemQuoTest.h
@@ -9,8 +9,6 @@
 #ifndef LLVM_LIBC_TEST_SRC_MATH_REMQUOTEST_H
 #define LLVM_LIBC_TEST_SRC_MATH_REMQUOTEST_H
 
-#include "hdr/math_macros.h"
-#include "src/__support/FPUtil/BasicOperations.h"
 #include "src/__support/FPUtil/FPBits.h"
 #include "test/UnitTest/FEnvSafeTest.h"
 #include "test/UnitTest/FPMatcher.h"
diff --git a/libc/test/src/math/smoke/remquof16_test.cpp b/libc/test/src/math/smoke/remquof16_test.cpp
new file mode 100644
index 00000000000000..18f2aba71aabe3
--- /dev/null
+++ b/libc/test/src/math/smoke/remquof16_test.cpp
@@ -0,0 +1,13 @@
+//===-- Unittests for remquof16 -------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#include "RemQuoTest.h"
+
+#include "src/math/remquof16.h"
+
+LIST_REMQUO_TESTS(float16, LIBC_NAMESPACE::remquof16)