Long Division: 714 ÷ 3
"Long Division Calculator" Calculator
How to perform long division of 714 by 3?
Answer: 714 ÷ 3 = 238✓ exact division
714 ÷ 3 = 238
Visual Long Division
2
3
8
3
7
1
4
−
61
1
−
92
4
−
24
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 714 ÷ 3 using long division method step by step:
Step 1:Take the number 7 and divide by 3. We get 2 (write it in the quotient). Multiply 2 × 3 = 6 (write it below the dividend). Subtract 7 - 6 = 1. The remainder 1 is carried to the next step.
Step 2:Take the number 11 and divide by 3. We get 3 (write it in the quotient). Multiply 3 × 3 = 9 (write it below the dividend). Subtract 11 - 9 = 2. The remainder 2 is carried to the next step.
Step 3:Take the number 24 and divide by 3. We get 8 (write it in the quotient). Multiply 8 × 3 = 24 (write it below the dividend). Subtract 24 - 24 = 0.
Final Step:The division is complete with no remainder. 714 divides exactly by 3 to give 238.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 7 | 2 | 2 × 3 = 6 | 7 - 6 = 1 | 1 |
| 2 | 11 | 3 | 3 × 3 = 9 | 11 - 9 = 2 | 2 |
| 3 | 24 | 8 | 8 × 3 = 24 | 24 - 24 = 0 | 0 |
Perfect division: 714 divides evenly by 3 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.