Math Problem Statement

What is 684 divided by 8?

Solution

The image you uploaded appears to show a long division problem where 684 is being divided by 8. Let's work through the division step-by-step:

Division: 684÷8684 \div 8

  1. Step 1: Divide the first digit.

    • 8 does not divide into 6, so we move to the next digit.
  2. Step 2: Divide the first two digits.

    • Now, take the first two digits, 68.
    • 68÷8=868 \div 8 = 8 (since 8×8=648 \times 8 = 64).
  3. Step 3: Subtract.

    • Subtract 64 from 68, which gives us 4.
  4. Step 4: Bring down the next digit (4).

    • The new number is 44.
  5. Step 5: Divide.

    • 44÷8=544 \div 8 = 5 (since 8×5=408 \times 5 = 40).
  6. Step 6: Subtract.

    • Subtract 40 from 44, which gives us a remainder of 4.

So, the result of 684÷8=85684 \div 8 = 85 with a remainder of 4, or 85 R 485 \text{ R } 4.

Would you like further details or explanation?


Here are five related questions:

  1. How would you express 684÷8684 \div 8 as a decimal?
  2. What is the next number divisible by 8 after 684?
  3. How would you solve 684÷8684 \div 8 using multiplication?
  4. What would be the result of dividing 684 by a different divisor, say 7?
  5. Can you express 684÷8684 \div 8 as a mixed number?

Tip: When dividing large numbers, it often helps to check intermediate results by multiplying the divisor and quotient to ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Division
Long Division

Formulas

Division formula: Dividend ÷ Divisor = Quotient + Remainder

Theorems

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Suitable Grade Level

Grades 4-6