Long Division: 112 ÷ 7
"Long Division Calculator" Calculator
How to perform long division of 112 by 7?
Answer
112 ÷ 7 = 16✓ exact division
112 ÷ 7 = 16
Visual Long Division
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1
6
7
1
1
2
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74
2
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42
0
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 112 ÷ 7 using long division method step by step:
Step 1:Take the number 11 and divide by 7. We get 1 (write it in the quotient). Multiply 1 × 7 = 7 (write it below the dividend). Subtract 11 - 7 = 4. The remainder 4 is carried to the next step.
Step 2:Take the number 42 and divide by 7. We get 6 (write it in the quotient). Multiply 6 × 7 = 42 (write it below the dividend). Subtract 42 - 42 = 0.
Final Step:The division is complete with no remainder. 112 divides exactly by 7 to give 16.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 11 | 1 | 1 × 7 = 7 | 11 - 7 = 4 | 4 |
| 2 | 42 | 6 | 6 × 7 = 42 | 42 - 42 = 0 | 0 |
Perfect division: 112 divides evenly by 7 with no remainder.
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 perform long division of 112 by 7? (The answer is: The division of 112 by 7 is exact. Result: 112 ÷ 7 = 16.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.