Divide Using Long Division 87/3
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
