CGT following divoice

Following divorce my ex wife and I are trying to sell our former home. I have moved out. If I buy a property to live in before it's sold, will I have to pay CGT on my share following the sale of the original property.

Hi,
You can see guidance here:
HS281 Capital Gains Tax civil partners and spouses (2024)
You would be able to claim Private Residence Relief for the period that the property was your main residence and this may cover any gain. You can see further guidance here:  
https://www.gov.uk/government/publications/private-residence-relief-hs283-self-assessment-helpsheet/hs283-private-residence-relief-2024 
There is also a capital gains tax calcutator to help you work out if there is a gain below:
Tax when you sell property
Thank you.