diff --git a/numpy/core/src/common/simd/intdiv.h b/numpy/core/src/common/simd/intdiv.h
index f6ea9abf254e..7df4abfd29e8 100644
--- a/numpy/core/src/common/simd/intdiv.h
+++ b/numpy/core/src/common/simd/intdiv.h
@@ -162,11 +162,12 @@ NPY_FINLINE npy_uint64 npyv__divh128_u64(npy_uint64 high, npy_uint64 divisor)
     npy_uint32 divisor_hi  = divisor >> 32;
     npy_uint32 divisor_lo  = divisor & 0xFFFFFFFF;
     // compute high quotient digit
-    npy_uint32 quotient_hi = (npy_uint32)(high / divisor_hi);
+    npy_uint64 quotient_hi = high / divisor_hi;
     npy_uint64 remainder   = high - divisor_hi * quotient_hi;
     npy_uint64 base32      = 1ULL << 32;
     while (quotient_hi >= base32 || quotient_hi*divisor_lo > base32*remainder) {
-        remainder += --divisor_hi;
+        --quotient_hi;
+        remainder += divisor_hi;
         if (remainder >= base32) {
             break;
         }
@@ -200,7 +201,7 @@ NPY_FINLINE npyv_u8x3 npyv_divisor_u8(npy_uint8 d)
     default:
         l   = npyv__bitscan_revnz_u32(d - 1) + 1;  // ceil(log2(d))
         l2  = (npy_uint8)(1 << l);                 // 2^l, overflow to 0 if l = 8
-        m   = ((l2 - d) << 8) / d + 1;             // multiplier
+        m   = ((npy_uint16)((l2 - d) << 8)) / d + 1; // multiplier
         sh1 = 1;  sh2 = l - 1;                     // shift counts
     }
     npyv_u8x3 divisor;
diff --git a/numpy/core/tests/test_simd.py b/numpy/core/tests/test_simd.py
index ea5bbe103900..0270ad901662 100644
--- a/numpy/core/tests/test_simd.py
+++ b/numpy/core/tests/test_simd.py
@@ -329,7 +329,7 @@ def test_square(self):
         data_square = [x*x for x in data]
         square = self.square(vdata)
         assert square == data_square
-        
+
     def test_max(self):
         """
         Test intrinsics:
@@ -818,6 +818,7 @@ def test_arithmetic_intdiv(self):
         if self._is_fp():
             return
 
+        int_min = self._int_min()
         def trunc_div(a, d):
             """
             Divide towards zero works with large integers > 2^53,
@@ -830,57 +831,31 @@ def trunc_div(a, d):
                 return a // d
             return (a + sign_d - sign_a) // d + 1
 
-        int_min = self._int_min() if self._is_signed() else 1
-        int_max = self._int_max()
-        rdata = (
-            0, 1, self.nlanes, int_max-self.nlanes,
-            int_min, int_min//2 + 1
-        )
-        divisors = (1, 2, 9, 13, self.nlanes, int_min, int_max, int_max//2)
-
-        for x, d in itertools.product(rdata, divisors):
-            data = self._data(x)
-            vdata = self.load(data)
-            data_divc = [trunc_div(a, d) for a in data]
-            divisor = self.divisor(d)
-            divc = self.divc(vdata, divisor)
-            assert divc == data_divc
-
-        if not self._is_signed():
-            return
-
-        safe_neg = lambda x: -x-1 if -x > int_max else -x
-        # test round divison for signed integers
-        for x, d in itertools.product(rdata, divisors):
-            d_neg = safe_neg(d)
-            data = self._data(x)
-            data_neg = [safe_neg(a) for a in data]
-            vdata = self.load(data)
-            vdata_neg = self.load(data_neg)
-            divisor = self.divisor(d)
-            divisor_neg = self.divisor(d_neg)
-
-            # round towards zero
-            data_divc = [trunc_div(a, d_neg) for a in data]
-            divc = self.divc(vdata, divisor_neg)
-            assert divc == data_divc
-            data_divc = [trunc_div(a, d) for a in data_neg]
-            divc = self.divc(vdata_neg, divisor)
+        data = [1, -int_min]  # to test overflow
+        data += range(0, 2**8, 2**5)
+        data += range(0, 2**8, 2**5-1)
+        bsize = self._scalar_size()
+        if bsize > 8:
+            data += range(2**8, 2**16, 2**13)
+            data += range(2**8, 2**16, 2**13-1)
+        if bsize > 16:
+            data += range(2**16, 2**32, 2**29)
+            data += range(2**16, 2**32, 2**29-1)
+        if bsize > 32:
+            data += range(2**32, 2**64, 2**61)
+            data += range(2**32, 2**64, 2**61-1)
+        # negate
+        data += [-x for x in data]
+        for dividend, divisor in itertools.product(data, data):
+            divisor = self.setall(divisor)[0]  # cast
+            if divisor == 0:
+                continue
+            dividend = self.load(self._data(dividend))
+            data_divc = [trunc_div(a, divisor) for a in dividend]
+            divisor_parms = self.divisor(divisor)
+            divc = self.divc(dividend, divisor_parms)
             assert divc == data_divc
 
-        # test truncate sign if the dividend is zero
-        vzero = self.zero()
-        for d in (-1, -10, -100, int_min//2, int_min):
-            divisor = self.divisor(d)
-            divc = self.divc(vzero, divisor)
-            assert divc == vzero
-
-        # test overflow
-        vmin = self.setall(int_min)
-        divisor = self.divisor(-1)
-        divc = self.divc(vmin, divisor)
-        assert divc == vmin
-
     def test_arithmetic_reduce_sum(self):
         """
         Test reduce sum intrinsics: