Long Division: 510 ÷ 30
"Long Division Calculator" Calculator
How to perform long division of 510 by 30?
Answer: 510 ÷ 30 = 17✓ exact division
510 ÷ 30 = 17
Visual Long Division
0
1
7
3
0
5
1
0
−
30
2
1
0
−
21
0
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 510 ÷ 30 using long division method step by step:
Step 1:Take the number 51 and divide by 30. We get 1 (write it in the quotient). Multiply 1 × 30 = 30 (write it below the dividend). Subtract 51 - 30 = 21. The remainder 21 is carried to the next step.
Step 2:Take the number 210 and divide by 30. We get 7 (write it in the quotient). Multiply 7 × 30 = 210 (write it below the dividend). Subtract 210 - 210 = 0.
Final Step:The division is complete with no remainder. 510 divides exactly by 30 to give 17.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 51 | 1 | 1 × 30 = 30 | 51 - 30 = 21 | 21 |
| 2 | 210 | 7 | 7 × 30 = 210 | 210 - 210 = 0 | 0 |
Perfect division: 510 divides evenly by 30 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.
See Also
- About a number - All information about a specific number (spelling, factors, prime check, binary, hexadecimal, QR Code, Barcode and more)
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Fraction to Percent - What percentage one number is of another? Convert fraction into a percentage
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About "Long Division Calculator" Calculator
Long division calculator with step-by-step explanation. Enter dividend (e.g. '29224' or '58.5') and divisor (e.g. '4' or '1.25') to get detailed solution with visualization.