Straight forward question, is a wizard able to learn a spell and add it to their spellbook when the scroll is divine.
This comes up because the wizard technically has to UMD a divine scroll even if the spell is on both lists.
From the scrolls page (which affects casting a spell)
The spell must be of the correct type (arcane or divine). Arcane spellcasters (wizards, sorcerers, and bards) can only use scrolls containing arcane spells, and divine spellcasters (clerics, druids, paladins, and rangers) can only use scrolls containing divine spells
A wizard can also add a spell to his book whenever he encounters one on a magic scroll or in another wizard’s spellbook. No matter what the spell’s source, the wizard must first decipher the magical writing (see Arcane Magical Writings).