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Note 7 - Mortgage Loans Held for Sale (Details Textual) - Collateralized Debt Obligations [Member] | Oct. 31, 2024 USD ($) NUMBER | Oct. 31, 2023 USD ($) NUMBER
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Mortgage Loans Held for Sale |  |
Mortgages held for sale, pledged | $ | $ 145,700 | $ 127,700
Number of Loans Reserved For | NUMBER | 10 | 10

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- Definition The number of mortgage loans for which specific reserves exist as of the balance sheet date. + References No definition available. + Details
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Namespace Prefix: | hov_
Data Type: | xbrli:integerItemType
Balance Type: | na
Period Type: | instant

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- Definition Amount of assets pledged to secure a debt instrument. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 942 -SubTopic 470 -Section 50 -Paragraph 3 -Subparagraph (d) -Publisher FASB -URI https://asc.fasb.org/1943274/2147477734/942-470-50-3 + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 326 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 13 -Publisher FASB -URI https://asc.fasb.org/1943274/2147479319/326-20-50-13 + Details
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Namespace Prefix: | us-gaap_
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Balance Type: | na
Period Type: | duration

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- Details
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Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |