On dividing $4999$ by $7$, what will the remainder be?

Perform long division of $4999$ by $7$:
$$4999=7\times 714+\text{Remainder}$$
Let's divide:$49÷7=7$, remainder $0$ Bring down $9$: $9÷7=1$, remainder $2$ Bring down $9$ making it $29$: $29÷7=4$, remainder $1$ Calculation:
$$7\times 714=4998$$
$$\text{Remainder}=4999-4998=1$$
Thus, the remainder is $1$.