7 because if the remainder was 8, you could just divide it one more time
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When dividing any integer by 8, the remainders can range from 0 to 7. The largest possible remainder when dividing by 8 is 7, as the remainder can never exceed the divisor. This means that when dividing any number by 8, the remainder will always be between 0 and 7, with 7 being the largest possible remainder.