Repeated-digit patterns (XYXYXY, XXYXX): factor the place-value form

This type of question, asked 2 times: CDS 2 2018, CDS 1 2023. All 2 questions below, oldest first.

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Question 1
CDS 2 2018
4 $How many five-digit numbers of the form XXYXX is/are divisible by 33 ?$
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Question 2
CDS 1 2023
23 $Consider a 6-digit number of the form XYXYXY. The number is divisible by :$
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