Long Division Calculator
Solve long division problems step-by-step with detailed explanations and remainder calculations
Calculate Long Division
The number that will be divided
The number you're dividing by
Example: 65321 ÷ 31
Problem Setup
Dividend: 65321 (the number being divided)
Divisor: 31 (the number we're dividing by)
Goal: Find how many times 31 goes into 65321
Solution Process
1. 31 goes into 65 → 2 times (2 x 31 = 62, remainder 3)
2. Bring down 3, making 33 → 1 time (1 x 31 = 31, remainder 2)
3. Bring down 2, making 22 → 0 times (22 < 31)
4. Bring down 1, making 221 → 7 times (7 x 31 = 217, remainder 4)
Final Answer: 2107 remainder 4
The 5 Steps of Long Division
Divide
How many times does divisor go into dividend?
Multiply
Multiply quotient digit by divisor
Subtract
Subtract the result from dividend
Bring Down
Bring down the next digit
Repeat
Repeat until done or find remainder
Long Division Tips
Work from left to right, one digit at a time
If divisor doesn't fit, write 0 in quotient
Always check: quotient x divisor + remainder = dividend
Remainder must be less than the divisor
Understanding Long Division
What is Long Division?
Long division is a method for dividing large numbers by breaking the problem down into a series of easier steps. It allows you to find both the quotient (answer) and remainder of any division problem.
Why Learn Long Division?
- •Builds foundational understanding of division
- •Helps with polynomial division in algebra
- •Develops logical thinking and problem-solving skills
- •Provides insight into decimal representations
Key Terms
Dividend: The number being divided (inside the division house)
Divisor: The number you're dividing by (outside the division house)
Quotient: The answer or result of the division
Remainder: What's left over when division doesn't divide evenly
Formula: Dividend = Quotient x Divisor + Remainder