On a repayment mortgage, each monthly payment covers interest and some of the balance. When you overpay, the extra amount usually goes straight towards the balance. That means the mortgage has less capital left outstanding from that point onwards.
Because interest is charged on the balance that remains, reducing that balance sooner usually lowers future interest. That is the real engine behind mortgage overpayment savings.
Different lenders can handle overpayments in slightly different ways. Some automatically reduce the mortgage term. Others may reduce the required monthly payment unless you ask for the term to stay the same. If your goal is to clear the mortgage sooner, it is worth checking exactly how your lender applies the change.
You may also hear that mortgage interest is worked out daily. The important practical point is simple: the sooner the balance goes down, the sooner less interest is usually charged. You do not need to get buried in formulas to grasp the main idea.
Finally, remember the annual limit. Many UK borrowers talk about a 10% rule, where up to roughly 10% of the balance can be overpaid within a year without penalty. That can be true on some mortgages, but not all. Monthly overpayments and lump sums may count towards the same total, so check the exact wording before paying extra.