Long Division: 500 ÷ 7
Long Division Calculator
How to divide 500 by 7 using long division and find the remainder?
Answer
500 ÷ 7 = 71 remainder 3
500 ÷ 7 = 71 remainder 3
Visual Long Division
0
7
1
7
5
0
0
−
49
1
0
−
73
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 500 ÷ 7 using long division method step by step:
Step 1:Take the number 50 and divide by 7. We get 7 (write it in the quotient). Multiply 7 × 7 = 49 (write it below the dividend). Subtract 50 - 49 = 1. The remainder 1 is carried to the next step.
Step 2:Take the number 10 and divide by 7. We get 1 (write it in the quotient). Multiply 1 × 7 = 7 (write it below the dividend). Subtract 10 - 7 = 3. The remainder 3 is carried to the next step.
Final Step:The remainder 3 is smaller than the divisor 7, so the division is complete. The final answer is 71 with remainder 3.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 50 | 7 | 7 × 7 = 49 | 50 - 49 = 1 | 1 |
| 2 | 10 | 1 | 1 × 7 = 7 | 10 - 7 = 3 | 3 |
Final remainder: 3
Since 3 is less than 7, we cannot divide further. The final answer is 71 with remainder 3.
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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Long Division 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 500 by 7 using long division and find the remainder? (The answer is: When dividing 500 by 7, we get quotient 71 and remainder 3. Result: 500 ÷ 7 = 71 remainder 3.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
Long Division Table
FAQ
How to divide 500 by 7 using long division and find the remainder?
500 ÷ 7 = 71 remainder 3
Is 500 divisible by 7?
No, 500 is not divisible by 7. The remainder is 3.
How to check the result of 500 ÷ 7?
Multiply the quotient 71 by the divisor 7 and add the remainder 3. The result should equal 500.
See Also
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