// get a rounded ratio and a remainder which can be expressed as ints, without risk of
        // overflow:
        int quotient = (int) LongMath.divide(numerator, scale, RoundingMode.DOWN);
        int remainder = (int) (numerator - (long) quotient * scale);
        quotients[i] = quotient;
        remainders[i] = remainder;
        requiredSelections[requiredSelectionsCount] = quotient;

        if (result < 0) {
          result = UnsignedLongs.remainder(result, m);
        }
        // result < 2^63 again
        result += aLo * bHi; // aLo * bHi < 2^63, result < 2^64
        result = times2ToThe32Mod(result, m); // result < m < 2^63
        return plusMod(result, UnsignedLongs.remainder(aLo * bLo /* < 2^64 */, m), m);
      }

      @Override

      int j = i & ARRAY_MASK;
      tmp += UnsignedLongs.divide(longs[j], divisors[j]);
    }
    return tmp;
  }

  @Benchmark
  long remainder(int reps) {
    long tmp = 0;
    for (int i = 0; i < reps; i++) {
      int j = i & ARRAY_MASK;
      tmp += UnsignedLongs.remainder(longs[j], divisors[j]);
    }
    return tmp;
  }

  @Benchmark
  long parseUnsignedLong(int reps) {
    long tmp = 0;

      int j = i & ARRAY_MASK;
      tmp += UnsignedLongs.divide(longs[j], divisors[j]);
    }
    return tmp;
  }

  @Benchmark
  long remainder(int reps) {
    long tmp = 0;
    for (int i = 0; i < reps; i++) {
      int j = i & ARRAY_MASK;
      tmp += UnsignedLongs.remainder(longs[j], divisors[j]);
    }
    return tmp;
  }

  @Benchmark
  long parseUnsignedLong(int reps) {
    long tmp = 0;

    assertThat(UnsignedLongs.remainder(14, 5)).isEqualTo(4);
    assertThat(UnsignedLongs.remainder(0, 50)).isEqualTo(0);
    assertThat(UnsignedLongs.remainder(0xfffffffffffffffeL, 0xfffffffffffffffdL)).isEqualTo(1);
    assertThat(UnsignedLongs.remainder(0xfffffffffffffffdL, 0xfffffffffffffffeL))
        .isEqualTo(0xfffffffffffffffdL);
    assertThat(UnsignedLongs.remainder(0xfffffffffffffffeL, 65535)).isEqualTo(65534L);

    }

    // returns the minimum x such as x >= a && (x % b) == 0
    private static int ceilToMultiple(int a, int b) {
      int remainder = a % b;
      return remainder == 0 ? a : a + b - remainder;
    }

    void assertBytes(byte[] expected) {
      byte[] got = out.toByteArray();
      for (int i = 0; i < expected.length; i++) {
        assertEquals(expected[i], got[i]);

    }

    // returns the minimum x such as x >= a && (x % b) == 0
    private static int ceilToMultiple(int a, int b) {
      int remainder = a % b;
      return remainder == 0 ? a : a + b - remainder;
    }

    void assertBytes(byte[] expected) {
      byte[] got = out.toByteArray();
      for (int i = 0; i < expected.length; i++) {
        assertEquals(expected[i], got[i]);

        assertEquals("test query", queryContext.getQueryString());
        assertEquals("url", queryContext.getDefaultField());
    }

    // Test constructor with allinurl prefix and empty remainder
    public void test_constructor_allinurlPrefixEmptyRemainder() {
        queryContext = new QueryContext("allinurl:", false);
        assertEquals("*", queryContext.getQueryString());

   *
   * @param dividend the dividend (numerator)
   * @param divisor the divisor (denominator)
   * @throws ArithmeticException if divisor is 0
   * @since 11.0
   */
  public static long remainder(long dividend, long divisor) {
    if (divisor < 0) { // i.e., divisor >= 2^63:
      if (compare(dividend, divisor) < 0) {
        return dividend; // dividend < divisor
      } else {

    // Now process directly from the rest of the input buffer
    while (readBuffer.remaining() >= chunkSize) {
      process(readBuffer);
    }

    // Finally stick the remainder back in our usual buffer
    buffer.put(readBuffer);
    return this;
  }

  /*
   * Note: hashString(CharSequence, Charset) is intentionally not overridden.
   *