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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019e4c5b-904c-741c-9f61-85777a6b4152,g:b22d96d6-94c9-4c54-9d51-0225ce937bf9-->
<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-20260520.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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019e4c5b-904c-739d-a433-82f03d75887e" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_EntityCentralIndexKey_019e4c5b-904c-739d-a433-82f03d75887e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019e4c5b-904c-704a-b5e8-89ad3d114a48" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_AmendmentFlag_019e4c5b-904c-704a-b5e8-89ad3d114a48" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019e4c5b-904c-7c35-9f90-fe036da510f7" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_DocumentType_019e4c5b-904c-7c35-9f90-fe036da510f7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019e4c5b-904c-75e2-921c-fa5f545c0f56" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_DocumentPeriodEndDate_019e4c5b-904c-75e2-921c-fa5f545c0f56" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019e4c5b-904c-77b1-b1da-81fa76353128" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_EntityRegistrantName_019e4c5b-904c-77b1-b1da-81fa76353128" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019e4c5b-904c-7dde-9942-c137db7a2f5e" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019e4c5b-904c-7dde-9942-c137db7a2f5e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019e4c5b-904c-7cbb-bb72-18f6335d2601" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_EntityFileNumber_019e4c5b-904c-7cbb-bb72-18f6335d2601" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019e4c5b-904c-79de-a5d5-84ed8c34c82c" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_EntityTaxIdentificationNumber_019e4c5b-904c-79de-a5d5-84ed8c34c82c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019e4c5b-904c-7416-9734-538f603aa4bd" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_EntityAddressAddressLine1_019e4c5b-904c-7416-9734-538f603aa4bd" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019e4c5b-904c-7825-aa7a-7346688b9fd3" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_EntityAddressCityOrTown_019e4c5b-904c-7825-aa7a-7346688b9fd3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019e4c5b-904c-7459-a1aa-efcd8eef32e9" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_EntityAddressStateOrProvince_019e4c5b-904c-7459-a1aa-efcd8eef32e9" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019e4c5b-904c-75d4-9646-675951430da6" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_EntityAddressPostalZipCode_019e4c5b-904c-75d4-9646-675951430da6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019e4c5b-904c-7a2a-89ba-1085fa6dea84" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_CityAreaCode_019e4c5b-904c-7a2a-89ba-1085fa6dea84" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019e4c5b-904c-70c1-9036-115fcf99e79f" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_LocalPhoneNumber_019e4c5b-904c-70c1-9036-115fcf99e79f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019e4c5b-904c-748b-80c1-92c2ee4f14a0" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_WrittenCommunications_019e4c5b-904c-748b-80c1-92c2ee4f14a0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019e4c5b-904c-76b3-a891-a68e5f87c433" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_SolicitingMaterial_019e4c5b-904c-76b3-a891-a68e5f87c433" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019e4c5b-904c-7ca5-b383-406acd140512" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_PreCommencementTenderOffer_019e4c5b-904c-7ca5-b383-406acd140512" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019e4c5b-904c-79d8-97c4-2ec6efb64214" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019e4c5b-904c-79d8-97c4-2ec6efb64214" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019e4c5b-904c-77a0-8098-bbde846ebee6" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_Security12bTitle_019e4c5b-904c-77a0-8098-bbde846ebee6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019e4c5b-904c-721c-b9f3-3c5f3ac2db57" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_TradingSymbol_019e4c5b-904c-721c-b9f3-3c5f3ac2db57" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019e4c5b-904c-7fe4-82fa-bd8b6bcabbd5" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_SecurityExchangeName_019e4c5b-904c-7fe4-82fa-bd8b6bcabbd5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019e4c5b-904c-7efa-bea3-a4637a0ed7a4" 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_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_EntityEmergingGrowthCompany_019e4c5b-904c-7efa-bea3-a4637a0ed7a4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CurrentFiscalYearEndDate_019e4c5b-904c-780d-a575-f4039263d597" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CurrentFiscalYearEndDate"/>
    <link:presentationArc order="23" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019e4c5b-904c-7f93-be83-a1b98a4d9b92" xlink:to="loc_dei_CurrentFiscalYearEndDate_019e4c5b-904c-780d-a575-f4039263d597" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
