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The image is showing a division problem where you are asked to solve \(764 \div 47\). Let's break it down step by step:

1. Start with the first digits of the dividend: \(76\).
2. Divide \(76\) by \(47\), which goes **1** time. Write **1** in the quotient.
3. Multiply \(1 \times 47 = 47\), and subtract \(47\) from \(76\), leaving \(29\).
4. Bring down the next digit from \(764\), which is \(4\), making it \(294\).
5. Divide \(294\) by \(47\), which goes **6** times. Write **6** in the quotient.
6. Multiply \(6 \times 47 = 282\), and subtract \(282\) from \(294\), leaving a remainder of \(12\).

Thus, \(764 \div 47 = 16\) with a remainder of \(12\).

Would you like further explanation or have any questions about this process?

Here are some related questions:
1. How do you check if a division result is correct?
2. What is the difference between long division and short division?
3. Can you apply this method to division by larger numbers?
4. What happens if there is no remainder in a division problem?
5. How do you divide numbers with decimals using long division?

**Tip**: Always double-check division by multiplying the quotient by the divisor and adding the remainder. This should give you the original dividend.

Learn how to solve the division problem 764 ÷ 47 with a remainder of 12. This step-by-step guide is designed for students in Grades 5-7 and focuses on long division with remainders.

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