Long Division Problem: Dividing 7714 by 7 Step-by-Step

To solve this problem, we'll use the long division method to divide $7714$ by $7$:

1. Consider the first digit of the dividend, $7$. How many times does $7$ go into $7$? It fits 1 time.

2. Write $1$ in the quotient and subtract $7 \times 1 = 7$ from the digit to get $0$. Next, bring down the next digit, which is $7$, making the number $07$.

3. Determine how many times $7$ fits into $07$. It fits no times, so write $0$ in the quotient, resulting in $10$ in the quotient so far. Bring down the next digit $1$, making it $71$.

4. How many times does $7$ go into $71$? It fits 10 times. Write a $1$ in the quotient next to the existing one, making $110$.

5. Subtract $7 \times 10 = 70$, resulting in $1$. Bring down the next digit $4$, making it $14$.

6. How many times does $7$ go into $14$? It fits 2 times. Write $2$ in the quotient, yielding a final quotient of $1102$.

Subtract $7 \times 2 = 14$ from $14$, resulting in a remainder of $0$, indicating division is complete with no remainder.

Therefore, the quotient when $7714$ is divided by $7$ is $1102$.