Here’s an English usage worksheet on differentiating the use of renumeration and remuneration. In reality, since neither renumeration nor the verb from which it would spring, renumerate, are words that have disappeared under the much crisper recount (although renumerate can also mean to renumber–also crisper than renumerate) this is a worksheet on the meaning and use of the noun remuneration.
To remunerate simply means “to pay an equivalent for.” When you receive your paycheck, your employer remunerated for your labor.
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Mark's Text Terminal 