diff -r d00a1c46fff7 Objects/longobject.c
--- a/Objects/longobject.c	Thu Feb 04 14:08:23 2016 -0500
+++ b/Objects/longobject.c	Thu Feb 04 21:05:40 2016 -0500
@@ -3565,7 +3565,29 @@
 {
     PyLongObject *div;
 
-    CHECK_BINOP(a, b);
+    if (PyLong_CheckExact(a) && PyLong_CheckExact(b)) {
+        if (Py_ABS(Py_SIZE(a)) == 1 && Py_ABS(Py_SIZE(b)) == 1) {
+            sdigit left = ((PyLongObject*)a)->ob_digit[0];
+            sdigit right = ((PyLongObject*)b)->ob_digit[0];
+            sdigit div;
+
+            if (Py_SIZE(a) != Py_SIZE(b)) {
+                left = -left;
+                div = left / right;
+                if (left - div * right) {
+                    /* we want floor */
+                    --div;
+                }
+
+                return PyLong_FromLong(div);
+            } else {
+                return PyLong_FromLong(left / right);
+            }
+        }
+    } else {
+        CHECK_BINOP(a, b);
+    }
+
     if (l_divmod((PyLongObject*)a, (PyLongObject*)b, &div, NULL) < 0)
         div = NULL;
     return (PyObject *)div;