Long Division: 513 ÷ 9
Long Division Calculator
How to perform long division of 513 by 9?
Answer
513 ÷ 9 = 57
✓ exact division
513 ÷ 9 = 57
Visual Long Division
0
5
7
9
5
1
3
−
45
6
3
−
63
0
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 513 ÷ 9 using long division method step by step:
Step 1:Take the number 51 and divide by 9. We get 5 (write it in the quotient). Multiply 5 × 9 = 45 (write it below the dividend). Subtract 51 - 45 = 6. The remainder 6 is carried to the next step.
Step 2:Take the number 63 and divide by 9. We get 7 (write it in the quotient). Multiply 7 × 9 = 63 (write it below the dividend). Subtract 63 - 63 = 0.
Final Step:The division is complete with no remainder. 513 divides exactly by 9 to give 57.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 51 | 5 | 5 × 9 = 45 | 51 - 45 = 6 | 6 |
| 2 | 63 | 7 | 7 × 9 = 63 | 63 - 63 = 0 | 0 |
Perfect division: 513 divides evenly by 9 with no remainder.
About Long Division
Long division is a method for dividing large numbers that breaks down the division process into smaller, manageable steps. It's taught in elementary school as a systematic way to perform division by hand.
The process involves:
- Dividing the leftmost digits of the dividend by the divisor
- Writing the quotient digit above the dividend
- Multiplying the quotient digit by the divisor
- Subtracting this product from the current dividend portion
- Bringing down the next digit and repeating the process
This method ensures accuracy and helps students understand the relationship between multiplication and division.
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- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
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Long Division Table
Long Division Calculator
Long division calculator with step-by-step explanation. Enter dividend and divisor to get a detailed solution with visualization. For example, it can help you find out how to perform long division of 513 by 9? (The answer is: The division of 513 by 9 is exact. Result: 513 ÷ 9 = 57.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.