4 Use long division to calculate: \( 2456 \div 32 \)
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To perform long division with \( 2456 \div 32 \), we start by determining how many times 32 fits into the leading digits of 2456: 1. **Divide 32 into 245**: 32 goes into 245 approximately 7 times (since \( 32 \times 7 = 224 \)). Write down 7 above the line. 2. **Subtract**: \( 245 - 224 = 21 \). 3. **Bring down the next digit (6)**: Now we have 216. 4. **Divide 32 into 216**: 32 goes into 216 approximately 6 times (since \( 32 \times 6 = 192 \)). Write down 6 above the line next to the 7. 5. **Subtract**: \( 216 - 192 = 24 \). Now, we can summarize the result. Since there are no more digits to bring down, we consider the remainder. Thus, \( 2456 \div 32 = 76 \) with a remainder of 24, or you could also express it as \( 76 \frac{24}{32} \) which simplifies to \( 76 \frac{3}{4} \).
