Long Division: 1000 ÷ 72
"Long Division Calculator" Calculator
How to divide 1000 by 72 using long division and find the remainder?
Answer
1000 ÷ 72 = 13 remainder 64
1000 ÷ 72 = 13 remainder 64
Visual Long Division
0
0
1
3
7
2
1
0
0
0
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72
2
8
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21
6
6
4
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 1000 ÷ 72 using long division method step by step:
Step 1:
Take the number 100 and divide by 72. We get 1 (write it in the quotient). Multiply 1 × 72 = 72 (write it below the dividend). Subtract 100 - 72 = 28. The remainder 28 is carried to the next step.
Step 2:
Take the number 280 and divide by 72. We get 3 (write it in the quotient). Multiply 3 × 72 = 216 (write it below the dividend). Subtract 280 - 216 = 64. The remainder 64 is carried to the next step.
Final Step:
The remainder 64 is smaller than the divisor 72, so the division is complete. The final answer is 13 with remainder 64.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 100 | 1 | 1 × 72 = 72 | 100 - 72 = 28 | 28 |
| 2 | 280 | 3 | 3 × 72 = 216 | 280 - 216 = 64 | 64 |
Final remainder: 64
Since 64 is less than 72, we cannot divide further. The final answer is 13 with remainder 64.
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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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
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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 1000 by 72 using long division and find the remainder? (The answer is: When dividing 1000 by 72, we get quotient 13 and remainder 64. Result: 1000 ÷ 72 = 13 remainder 64.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.