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    <issuer>
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        <issuerName>COSTCO WHOLESALE CORP /NEW</issuerName>
        <issuerTradingSymbol>COST</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001688921</rptOwnerCik>
            <rptOwnerName>Hines Daniel M.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>999 LAKE DRIVE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>ISSAQUAH</rptOwnerCity>
            <rptOwnerState>WA</rptOwnerState>
            <rptOwnerZipCode>98027</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Principal Acctg Officer</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

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    <footnotes>
        <footnote id="F1">Grant of Restricted Stock Units. Vests one-fifth on October 22, 2022, and one-fifth annually on October 22 for the following four years.  In addition, under the Stock Incentive Plan, long term employees are eligible for accelerated vesting upon the anniversary of their 25th, 30th and 35th years of service.</footnote>
        <footnote id="F2">Not applicable. Grant of Restricted Stock Units.</footnote>
        <footnote id="F3">This transaction is a withholding by the Company for taxes in connection with the vesting of previously granted restricted stock units. The price represents the closing market price of Costco common stock on NASDAQ on October 21, 2022.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Gail E. Tsuboi, Attorney-In-Fact</signatureName>
        <signatureDate>2022-10-25</signatureDate>
    </ownerSignature>
</ownershipDocument>
