Long Division: 667 ÷ 7
Long Division Calculator
How to divide 667 by 7 using long division and find the remainder?
Answer
667 ÷ 7 = 95 remainder 2
667 ÷ 7 = 95 remainder 2
Visual Long Division
0
9
5
7
6
6
7
−
63
3
7
−
35
2
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 667 ÷ 7 using long division method step by step:
Step 1:Take the number 66 and divide by 7. We get 9 (write it in the quotient). Multiply 9 × 7 = 63 (write it below the dividend). Subtract 66 - 63 = 3. The remainder 3 is carried to the next step.
Step 2:Take the number 37 and divide by 7. We get 5 (write it in the quotient). Multiply 5 × 7 = 35 (write it below the dividend). Subtract 37 - 35 = 2. The remainder 2 is carried to the next step.
Final Step:The remainder 2 is smaller than the divisor 7, so the division is complete. The final answer is 95 with remainder 2.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 66 | 9 | 9 × 7 = 63 | 66 - 63 = 3 | 3 |
| 2 | 37 | 5 | 5 × 7 = 35 | 37 - 35 = 2 | 2 |
Final remainder: 2
Since 2 is less than 7, we cannot divide further. The final answer is 95 with remainder 2.
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 667 by 7 using long division and find the remainder? (The answer is: When dividing 667 by 7, we get quotient 95 and remainder 2. Result: 667 ÷ 7 = 95 remainder 2.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.