Long Division: 999 ÷ 72
"Long Division Calculator" Calculator
How to divide 999 by 72 using long division and find the remainder?
Answer: 999 ÷ 72 = 13 remainder 63
999 ÷ 72 = 13 remainder 63
Visual Long Division
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1
3
7
2
9
9
9
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72
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7
9
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21
6
6
3
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 999 ÷ 72 using long division method step by step:
Step 1:Take the number 99 and divide by 72. We get 1 (write it in the quotient). Multiply 1 × 72 = 72 (write it below the dividend). Subtract 99 - 72 = 27. The remainder 27 is carried to the next step.
Step 2:Take the number 279 and divide by 72. We get 3 (write it in the quotient). Multiply 3 × 72 = 216 (write it below the dividend). Subtract 279 - 216 = 63. The remainder 63 is carried to the next step.
Final Step:The remainder 63 is smaller than the divisor 72, so the division is complete. The final answer is 13 with remainder 63.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 99 | 1 | 1 × 72 = 72 | 99 - 72 = 27 | 27 |
| 2 | 279 | 3 | 3 × 72 = 216 | 279 - 216 = 63 | 63 |
Final remainder: 63
Since 63 is less than 72, we cannot divide further. The final answer is 13 with remainder 63.
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
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.
"Long Division Calculator" Calculator
FAQ
How to divide 999 by 72 using long division and find the remainder?
999 ÷ 72 = 13 remainder 63
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