Multiple loops on archive page without breaking pagination

I have an site setup with 5 post types.

Each menu item leads to an archive page for it’s post type.

On the archive page, I want show 10 posts.

I want to have a loop for three different sections.

I want this for styling reasons.

I need 3 separate divs to contain the broken up loops so that I can style the sections differently.

These pages are paginated.

How I would normally go about this is by query – but this would involve offset and that breaks pagination because that is already used in the pagination process.

I’ve read the sections of the codex about multiple loops but I must be missing something.

I keep getting lead to pre_get_posts but I can’t make sense of it.