Long Division: 144 ÷ 20
"Long Division Calculator" Calculator
How to divide 144 by 20 using long division and find the remainder?
Answer
144 ÷ 20 = 7 remainder 4
144 ÷ 20 = 7 remainder 4
Visual Long Division
0
0
7
2
0
1
4
4
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14
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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 144 ÷ 20 using long division method step by step:
Step 1:Take the number 144 and divide by 20. We get 7 (write it in the quotient). Multiply 7 × 20 = 140 (write it below the dividend). Subtract 144 - 140 = 4. The remainder 4 is carried to the next step.
Final Step:The remainder 4 is smaller than the divisor 20, so the division is complete. The final answer is 7 with remainder 4.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 144 | 7 | 7 × 20 = 140 | 144 - 140 = 4 | 4 |
Final remainder: 4
Since 4 is less than 20, we cannot divide further. The final answer is 7 with remainder 4.
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.
Related Calculations
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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Long Division Table
| Division | Quotient | Remainder |
|---|---|---|
| 137 ÷ 20 | 6 | 17 |
| 138 ÷ 20 | 6 | 18 |
| 139 ÷ 20 | 6 | 19 |
| 140 ÷ 20 | 7 | 0 |
| 141 ÷ 20 | 7 | 1 |
| 142 ÷ 20 | 7 | 2 |
| 143 ÷ 20 | 7 | 3 |
| 144 ÷ 20 | 7 | 4 |
| 145 ÷ 20 | 7 | 5 |
| 146 ÷ 20 | 7 | 6 |
| 147 ÷ 20 | 7 | 7 |
| 148 ÷ 20 | 7 | 8 |
| 149 ÷ 20 | 7 | 9 |
| 150 ÷ 20 | 7 | 10 |
| 151 ÷ 20 | 7 | 11 |
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 144 by 20 using long division and find the remainder? (The answer is: When dividing 144 by 20, we get quotient 7 and remainder 4. Result: 144 ÷ 20 = 7 remainder 4.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.