Long Division: 700 ÷ 21
"Long Division Calculator" Calculator
How to divide 700 by 21 using long division and find the remainder?
Answer
700 ÷ 21 = 33 remainder 7
700 ÷ 21 = 33 remainder 7
Visual Long Division
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3
3
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1
7
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63
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63
7
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 700 ÷ 21 using long division method step by step:
Step 1:Take the number 70 and divide by 21. We get 3 (write it in the quotient). Multiply 3 × 21 = 63 (write it below the dividend). Subtract 70 - 63 = 7. The remainder 7 is carried to the next step.
Step 2:Take the number 70 and divide by 21. We get 3 (write it in the quotient). Multiply 3 × 21 = 63 (write it below the dividend). Subtract 70 - 63 = 7. The remainder 7 is carried to the next step.
Final Step:The remainder 7 is smaller than the divisor 21, so the division is complete. The final answer is 33 with remainder 7.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 70 | 3 | 3 × 21 = 63 | 70 - 63 = 7 | 7 |
| 2 | 70 | 3 | 3 × 21 = 63 | 70 - 63 = 7 | 7 |
Final remainder: 7
Since 7 is less than 21, we cannot divide further. The final answer is 33 with remainder 7.
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.
Related Calculations
See Also
- Number Facts & Properties - 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
About "Long Division Calculator" 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 divide 700 by 21 using long division and find the remainder? (The answer is: When dividing 700 by 21, we get quotient 33 and remainder 7. Result: 700 ÷ 21 = 33 remainder 7.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
"Long Division Calculator" Calculator
Long Division Table
| Division | Quotient | Remainder |
|---|---|---|
| 693 ÷ 21 | 33 | 0 |
| 694 ÷ 21 | 33 | 1 |
| 695 ÷ 21 | 33 | 2 |
| 696 ÷ 21 | 33 | 3 |
| 697 ÷ 21 | 33 | 4 |
| 698 ÷ 21 | 33 | 5 |
| 699 ÷ 21 | 33 | 6 |
| 700 ÷ 21 | 33 | 7 |
| 701 ÷ 21 | 33 | 8 |
| 702 ÷ 21 | 33 | 9 |
| 703 ÷ 21 | 33 | 10 |
| 704 ÷ 21 | 33 | 11 |
| 705 ÷ 21 | 33 | 12 |
| 706 ÷ 21 | 33 | 13 |
| 707 ÷ 21 | 33 | 14 |
FAQ
How to divide 700 by 21 using long division and find the remainder?
700 ÷ 21 = 33 remainder 7
Is 700 divisible by 21?
No, 700 is not divisible by 21. The remainder is 7.
How to check the result of 700 ÷ 21?
Multiply the quotient 33 by the divisor 21 and add the remainder 7. The result should equal 700.
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