Long Division Calculator

Long division is a method for dividing large numbers that breaks down the division process into a series of easier steps. It's a fundamental arithmetic operation that helps understand the relationship between division, multiplication, and subtraction.

Key Terms

• Dividend: The number being divided
• Divisor: The number you're dividing by
• Quotient: The result of the division
• Remainder: What's left over after division

Long Division Steps

• Divide: How many times does the divisor go into the dividend?
• Multiply: Multiply the quotient by the divisor
• Subtract: Subtract the result from the dividend
• Bring Down: Bring down the next digit
• Repeat: Continue until no digits remain

Applications

• Everyday Math: Splitting bills, sharing equally
• Fractions: Converting improper fractions to mixed numbers
• Unit Conversion: Converting between measurement units
• Problem Solving: Breaking down complex problems

Verification

You can verify your long division answer using this formula:

(Quotient × Divisor) + Remainder = Dividend

For example, if 17 ÷ 5 = 3 R 2, then (3 × 5) + 2 = 15 + 2 = 17 ✓

Tips for Long Division

• Always estimate first to check if your answer makes sense
• Write neatly and align digits carefully
• Check your work by multiplying back
• The remainder must always be less than the divisor
• Practice with smaller numbers first before tackling larger ones