Question

the image contains several long division problems, including: \\(5 \enclose{longdiv}{3870}\\), \\(6 \enclose{longdiv}{755}\\) with a remainder of 5, \\(3 \enclose{longdiv}{3942}\\), \\(9 \enclose{longdiv}{330}\\), and others with handwritten work and check marks.

Explanation:

Step1: Solve \( 5\enclose{longdiv}{3870} \)

• Divide \( 3870 \) by \( 5 \). \( 3870\div5 = 774 \) (since \( 5\times700 = 3500 \), \( 3870 - 3500 = 370 \); \( 5\times74 = 370 \), so \( 700 + 74 = 774 \))

Step2: Solve \( 6\enclose{longdiv}{755} \)

• Divide \( 755 \) by \( 6 \). \( 6\times125 = 750 \), \( 755 - 750 = 5 \), so the quotient is \( 125 \) with a remainder of \( 5 \)

Step3: Solve \( 3\enclose{longdiv}{3942} \)

• Divide \( 3942 \) by \( 3 \). \( 3\div3 = 1 \), \( 9\div3 = 3 \), \( 4\div3 = 1 \) (remainder \( 1 \)), bring down \( 2 \) to get \( 12 \), \( 12\div3 = 4 \). So \( 3942\div3 = 1314 \)

Step4: Solve \( 9\enclose{longdiv}{330} \)

• Divide \( 330 \) by \( 9 \). \( 9\times36 = 324 \), \( 330 - 324 = 6 \), so \( 330\div9 = 36\cdots\cdots6 \) (quotient \( 36 \), remainder \( 6 \))

Step5: Solve \( 7\enclose{longdiv}{162} \)

• Divide \( 162 \) by \( 7 \). \( 7\times23 = 161 \), \( 162 - 161 = 1 \), so \( 162\div7 = 23\cdots\cdots1 \) (quotient \( 23 \), remainder \( 1 \))

Answer:

• \( 3870\div5 = 774 \)
• \( 755\div6 = 125\cdots\cdots5 \)
• \( 3942\div3 = 1314 \)
• \( 330\div9 = 36\cdots\cdots6 \)
• \( 162\div7 = 23\cdots\cdots1 \)