The pay-or-quit notice is the required first step
A single missed or late rent payment can legally start the eviction process, but the landlord can't skip straight to court. They first have to serve a written "pay or quit" notice stating the amount you owe and giving you a set window to pay it in full. If you pay everything owed within that window, the eviction is supposed to stop there — see what is a pay or quit notice for exactly what that notice has to include and how it has to be delivered.
In practice, most landlords don't evict over a single late payment
Filing and pursuing an eviction costs a landlord time, court fees, and often legal fees, so some give a tenant with a clean history a chance to catch up first — but nothing requires them to. That said, "usually don't" isn't the same as "legally can't" — the notice can go out the moment rent is late under your lease's terms, so don't assume you have unlimited slack just because eviction is rare after one incident.
Grace periods come from your lease or your state, not from goodwill
Whether you get any breathing room before a payment counts as "late" at all depends on your lease and your state. Some states require landlords to build in a grace period before a late fee can even be charged; others leave it entirely up to the lease. Check can my landlord charge late fees for how grace periods and late-fee caps work where you live, since the rules that trigger a late fee and the rules that let a landlord start an eviction aren't always the same number of days.
Habitual lateness can matter even if each payment is eventually made
While one late payment rarely leads all the way to eviction, a documented pattern of chronic lateness is a different story. Even if you always eventually pay, some leases treat repeated late payment as a separate lease violation, and a pattern can also influence whether a landlord chooses to renew your lease at all — see can my landlord refuse to renew my lease. If you know you're going to be a repeat offender because of a temporary cash-flow problem, it's worth addressing directly with your landlord rather than letting a pattern build silently.
Your defenses if the case goes to court
Even after a pay-or-quit notice and a filed eviction lawsuit, you have the right to appear and raise defenses. Common ones include: the notice understated or overstated what you actually owed, the notice wasn't delivered the way state law requires, you already paid within the window and have proof, the landlord refused a payment you tried to make, or the unit has serious unresolved habitability problems that are relevant to the case. See can I stop an eviction by paying what I owe for how curing the debt interacts with a case that's already been filed.
A concrete example
Say your rent is $1,600, due on the 1st, and you're eight days late because of a delayed paycheck. Your landlord serves a pay-or-quit notice giving you until a set date to pay the full $1,600 plus any lease-allowed late fee. If you pay in full by that date, the notice is satisfied and the eviction process stops there — it doesn't automatically escalate into a lawsuit just because it started.
If you know you'll be late
Communicate with your landlord before the due date, not after. Many landlords will agree to a short payment plan, especially for a tenant with a good history, but get any agreement in writing so there's no dispute later about what was promised. If the shortfall is from a genuine hardship, look into local rental assistance programs — a payment from an assistance program can often satisfy a pay-or-quit notice the same as your own payment would.