Thanks for that <.< >.>
Just to add some extra background:
Without a special class feature, you can only a spell scroll (that is, a scroll with a specific spell on it, from a particular class list), if you have that spell on your class list. If you DO, then you can cast the spell from the scroll automatically, using the Spell's casting time - so a scroll of feather fall would be used as a reaction, as odd a mental picture as that makes. If the spell is of a level higher than you can cast normally (say a 4th level spell when you can only cast 3rds) you can make a check using your spellcasting ability modifier (Not an Arcana check; a cleric, for example, would roll a d20 + wisdom modifier to use a high level cleric scroll) against a DC equal to 10 + the level of the spell (So a low-level cleric trying to cast Raise Dead off a scroll would need to roll against a DC 15, as Raise dead is 5th level). If you're interrupted, the spell and scroll are not lost, but if you cast it and fail the check then it is. Material costs are not required for a spell scroll - they were already paid when the spell scroll was created. This is also why others who might not be faithful to the same god, or in edge cases not have any clerical ability at all, can still cast such spells without a divine connection, if the spell is otherwise on their list (divine soul sorcerers, theurgist wizards, cheeky bards, etc).
There are a handful of situations that allow characters to cast spells from scrolls in unexpected circumstances. The most common is when you add spells to your class spell list from a feature. Spells on the cleric list "count as sorcerer spells" for a divine soul sorcerer, for example. Spells a bard takes with magical secrets "count as bard spells" for that bard. Beyond that thief rogues can also get 'Use Magic Item', which allows them to ignore certain requirements on magic items, one of which is class - so a thief rogue could use any spell scroll, but they'd have to make the check, and their spellcasting ability modifier, since they don't have any spellcasting ability, is +0.
There is work still being done on the magic and casting system, and they've shown a willingness to bring things into 5e form over time, so hopefully when the magic rework comes out this will be rectified with that.
(I respond to any term of reference, and it's no big problem, but female terms are accurate in you're uncertain fallen ^.^ no biggie)