Long Division: 1000 ÷ 7
"Long Division Calculator" Calculator
How to divide 1000 by 7 using long division and find the remainder?
Answer
1000 ÷ 7 = 142 remainder 6
1000 ÷ 7 = 142 remainder 6
Visual Long Division
0
1
4
2
7
1
0
0
0
−
73
0
−
28
2
0
−
14
6
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 ÷ 7 using long division method step by step:
Step 1: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.
Step 2:Take the number 30 and divide by 7. We get 4 (write it in the quotient). Multiply 4 × 7 = 28 (write it below the dividend). Subtract 30 - 28 = 2. The remainder 2 is carried to the next step.
Step 3:Take the number 20 and divide by 7. We get 2 (write it in the quotient). Multiply 2 × 7 = 14 (write it below the dividend). Subtract 20 - 14 = 6. The remainder 6 is carried to the next step.
Final Step:The remainder 6 is smaller than the divisor 7, so the division is complete. The final answer is 142 with remainder 6.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 10 | 1 | 1 × 7 = 7 | 10 - 7 = 3 | 3 |
| 2 | 30 | 4 | 4 × 7 = 28 | 30 - 28 = 2 | 2 |
| 3 | 20 | 2 | 2 × 7 = 14 | 20 - 14 = 6 | 6 |
Final remainder: 6
Since 6 is less than 7, we cannot divide further. The final answer is 142 with remainder 6.
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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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 7 using long division and find the remainder? (The answer is: When dividing 1000 by 7, we get quotient 142 and remainder 6. Result: 1000 ÷ 7 = 142 remainder 6.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
"Long Division Calculator" Calculator
Long Division Table
FAQ
How to divide 1000 by 7 using long division and find the remainder?
1000 ÷ 7 = 142 remainder 6
Is 1000 divisible by 7?
No, 1000 is not divisible by 7. The remainder is 6.
How to check the result of 1000 ÷ 7?
Multiply the quotient 142 by the divisor 7 and add the remainder 6. The result should equal 1000.
See Also
- Long Division 999 ÷ 400 = 2, Remainder 199
- Long Division 999 ÷ 999 = 1 - Step by Step
- Long Division 999 ÷ 1000 = 0, Remainder 999
- Long Division 999 ÷ 2000 = 0, Remainder 999
- Long Division 1000 ÷ 1 = 1000 - Step by Step
- Long Division 1000 ÷ 2 = 500 - Step by Step
- Long Division 1000 ÷ 3 = 333, Remainder 1
- Long Division 1000 ÷ 4 = 250 - Step by Step
- Long Division 1000 ÷ 5 = 200 - Step by Step
- Long Division 1000 ÷ 6 = 166, Remainder 4
- Long Division 1000 ÷ 8 = 125 - Step by Step
- Long Division 1000 ÷ 9 = 111, Remainder 1
- Long Division 1000 ÷ 10 = 100 - Step by Step
- Long Division 1000 ÷ 11 = 90, Remainder 10
- Long Division 1000 ÷ 12 = 83, Remainder 4
- Long Division 1000 ÷ 13 = 76, Remainder 12
- Long Division 1000 ÷ 14 = 71, Remainder 6
- Long Division 1000 ÷ 15 = 66, Remainder 10
- Long Division 1000 ÷ 16 = 62, Remainder 8
- Long Division 1000 ÷ 17 = 58, Remainder 14
- Деление в столбик 1000 ÷ 7 = 142, остаток 6
- División larga 1000 ÷ 7 = 142, resto 6
- Divisão longa 1000 ÷ 7 = 142, resto 6