25 Divided by 6 Using Long Division

Divide Using Long Division 25/6

Understanding Division Better

Key Terms in Division

  • Dividend: The number being divided
  • Divisor: The number we’re dividing by
  • Quotient: The result of the division
  • Remainder: The amount left over

Division Properties

  • Division Formula: Dividend = (Divisor × Quotient) + Remainder
  • Remainder Property: The remainder is always less than the divisor
  • Zero Division: Division by zero is undefined

Divisibility Rules

  • Rule of 2: If the last digit is even (0,2,4,6,8)
  • Rule of 3: If sum of all digits is divisible by 3
  • Rule of 4: If last two digits form a number divisible by 4
  • Rule of 5: If the last digit is 0 or 5
  • Rule of 6: If number is divisible by both 2 and 3
  • Rule of 9: If sum of all digits is divisible by 9
  • Rule of 10: If the last digit is 0

Real-World Applications

  • Money Management: Splitting bills, calculating per-person costs
  • Time Calculations: Converting minutes to hours, planning schedules
  • Cooking: Adjusting recipe portions, serving sizes
  • Shopping: Calculating unit prices, comparing deals
  • Distance: Converting units, calculating speed

Common Division Mistakes to Avoid

  • Forgetting to check if the remainder is less than the divisor
  • Incorrect placement of decimal points
  • Not verifying the answer using multiplication
  • Forgetting that division by zero is undefined