Long Division Calculator
Perform long division with detailed step-by-step solutions
Division Problem
Enter the dividend (number to be divided) and divisor
Long Division Method
Step 1: Start with the leftmost digit of the dividend
Step 2: Divide by the divisor, write quotient above
Step 3: Multiply quotient by divisor, subtract from dividend
Step 4: Bring down the next digit
Step 5: Repeat until all digits are used
Example: 1234 ÷ 56
• 123 ÷ 56 = 2 remainder 11
• Bring down 4: 114 ÷ 56 = 2 remainder 2
• Result: 22 remainder 2
• 123 ÷ 56 = 2 remainder 11
• Bring down 4: 114 ÷ 56 = 2 remainder 2
• Result: 22 remainder 2
Applications & Tips
- Mathematical problem solving
- Educational mathematics
- Fraction simplification
- Understanding division concepts
- Converting to mixed numbers
- Checking calculator results
- Learning arithmetic algorithms
- Decimal and fraction relationships
Division Properties & Concepts
Key Properties:
- • Division is the inverse of multiplication
- • Dividend = Quotient × Divisor + Remainder
- • Remainder must be less than divisor
- • Division by zero is undefined
Decimal Results:
- • Terminating decimals end in finite digits
- • Repeating decimals have recurring patterns
- • Remainders can predict decimal behavior
- • Rational numbers have predictable decimals