wade through
• read laboriously through a long piece of writing.
• "they could just click it up on screen rather than have to wade through some hefty document"
Similar:
work one's way,
plough,
plod,
trawl,
proceed with difficulty,
labour,
toil away at,
plug away at,
peruse,
study,
browse,
leaf,
flick,
skim,
look,
thumb,
slog,