<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:01a03544-8bfb-7424-90ff-dcafe53bc253,g:fac35acf-5528-4849-a399-f81bd6bd932c-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://www.qg.com/role/CoverPage" xlink:type="simple" xlink:href="quad-20260825.xsd#CoverPage"/>
  <link:presentationLink xlink:role="http://www.qg.com/role/CoverPage" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_01a03544-8bfb-7e79-a44b-5e6fddeb8fd3" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_EntityCentralIndexKey_01a03544-8bfb-7e79-a44b-5e6fddeb8fd3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_01a03544-8bfb-7824-82e2-4d9da72a8fed" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_AmendmentFlag_01a03544-8bfb-7824-82e2-4d9da72a8fed" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_01a03544-8bfb-739c-b8c9-aab70c2d9992" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentType"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_DocumentType_01a03544-8bfb-739c-b8c9-aab70c2d9992" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_01a03544-8bfb-7c8e-abeb-ec529b50e314" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_DocumentPeriodEndDate_01a03544-8bfb-7c8e-abeb-ec529b50e314" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_01a03544-8bfb-795a-b17e-586f30e04e4c" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_EntityRegistrantName_01a03544-8bfb-795a-b17e-586f30e04e4c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_01a03544-8bfb-7752-83b8-f878f0b3afa2" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_EntityIncorporationStateCountryCode_01a03544-8bfb-7752-83b8-f878f0b3afa2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_01a03544-8bfb-7979-9d2a-47a30c2a52b1" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_EntityFileNumber_01a03544-8bfb-7979-9d2a-47a30c2a52b1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_01a03544-8bfb-72ca-8215-21a974ec3826" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_EntityTaxIdentificationNumber_01a03544-8bfb-72ca-8215-21a974ec3826" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_01a03544-8bfb-7cae-a455-4f0ec85fae9f" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_EntityAddressAddressLine1_01a03544-8bfb-7cae-a455-4f0ec85fae9f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_01a03544-8bfb-7e51-9e91-289c587784d5" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_EntityAddressCityOrTown_01a03544-8bfb-7e51-9e91-289c587784d5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_01a03544-8bfb-7362-8e28-16c5184a9e26" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_EntityAddressStateOrProvince_01a03544-8bfb-7362-8e28-16c5184a9e26" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_01a03544-8bfb-7ed3-a56f-8212d12e1ce0" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_EntityAddressPostalZipCode_01a03544-8bfb-7ed3-a56f-8212d12e1ce0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_01a03544-8bfb-7d52-8655-658ba9be6bd3" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_CityAreaCode_01a03544-8bfb-7d52-8655-658ba9be6bd3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_01a03544-8bfb-79a2-8872-2b8a05aafa27" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_LocalPhoneNumber_01a03544-8bfb-79a2-8872-2b8a05aafa27" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_01a03544-8bfb-78e6-9c3f-59adb4a48ff2" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_WrittenCommunications_01a03544-8bfb-78e6-9c3f-59adb4a48ff2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_01a03544-8bfb-7fca-88df-e57ab1435f40" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_SolicitingMaterial_01a03544-8bfb-7fca-88df-e57ab1435f40" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_01a03544-8bfb-7687-80a4-12cdca94cc29" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_PreCommencementTenderOffer_01a03544-8bfb-7687-80a4-12cdca94cc29" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_01a03544-8bfb-7def-acae-e236c1e57c84" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_01a03544-8bfb-7def-acae-e236c1e57c84" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_01a03544-8bfb-73c0-b0f0-9006019ea4af" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_Security12bTitle_01a03544-8bfb-73c0-b0f0-9006019ea4af" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_01a03544-8bfb-7036-8550-9734c19b66a5" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_TradingSymbol_01a03544-8bfb-7036-8550-9734c19b66a5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_01a03544-8bfb-7874-a178-dd129ff4b08a" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_SecurityExchangeName_01a03544-8bfb-7874-a178-dd129ff4b08a" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_01a03544-8bfb-7d9f-ba4e-e482034a1c30" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a03544-8bfb-7b69-b082-e032485020de" xlink:to="loc_dei_EntityEmergingGrowthCompany_01a03544-8bfb-7d9f-ba4e-e482034a1c30" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_01a03544-8bfb-7d8f-b9fb-964c3fe07c11" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentPeriodEndDate"/>
  </link:presentationLink>
</link:linkbase>
