Long Division Calculator
Long Division - Solve mathematical problems with step-by-step solutions.
Long Division Calculator
Step-by-step division
Long Division
Long division is a standard algorithm for dividing multi-digit numbers. It breaks down a division problem into a series of easier steps: divide, multiply, subtract, and bring down.
How the Long Division Calculator Works
Long division is a method for dividing large numbers by breaking the problem into smaller, manageable steps. It's the foundation for understanding division and essential for working with fractions, decimals, and algebraic expressions.
Key Terms
The dividend is the number being divided (inside the division bracket), the divisor is the number you're dividing by (outside the bracket), and the quotient is the answer (written on top). Understanding these terms helps you follow the long division process.
Steps for Long Division
The Four-Step Process
Remember: Divide, Multiply, Subtract, Bring Down. This simple acronym helps you remember the repeating pattern used in long division.
Step 1: Divide
How many times does the divisor go into the first digit(s) of the dividend? If it doesn't go in at all, include the next digit. Write this number above the division bracket.
Step 2: Multiply
Multiply the divisor by the quotient digit you just wrote. Write the result below the digits you're working with.
Step 3: Subtract
Subtract the result from the dividend. The difference should be less than the divisor. If it's not, your quotient digit was too small.
Step 4: Bring Down
Bring down the next digit from the dividend and repeat the process. Continue until you've brought down all digits.
Example: 156 ÷ 12
13
------
12 | 156
12↓ (1 × 12 = 12)
---
36 (15 - 12 = 3, bring down 6)
36 (3 × 12 = 36)
---
0 (36 - 36 = 0)
Answer: 13 with remainder 0In this example, 12 goes into 15 once, giving us 12. Subtracting leaves 3, and bringing down 6 gives us 36. 12 goes into 36 exactly 3 times, so our answer is 13.
Tips for Success
Estimate First
Before starting, estimate the answer to check if your result makes sense. Round numbers to make mental math easier. For example, 156 ÷ 12 is close to 150 ÷ 10 = 15.
Keep Work Organized
Write numbers clearly and align columns properly. This prevents errors and makes it easier to spot mistakes. Use graph paper if it helps maintain alignment.
Check Your Answer
Multiply the quotient by the divisor and add any remainder. You should get the original dividend. For example: 13 × 12 + 0 = 156 ✓
Frequently Asked Questions
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