Long Division: 1440 ÷ 90
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How to perform long division of 1440 by 90?
Answer: 1440 ÷ 90 = 16✓ exact division
1440 ÷ 90 = 16
Visual Long Division
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0
1
6
9
0
1
4
4
0
−
90
5
4
0
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54
0
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 1440 ÷ 90 using long division method step by step:
Step 1:Take the number 144 and divide by 90. We get 1 (write it in the quotient). Multiply 1 × 90 = 90 (write it below the dividend). Subtract 144 - 90 = 54. The remainder 54 is carried to the next step.
Step 2:Take the number 540 and divide by 90. We get 6 (write it in the quotient). Multiply 6 × 90 = 540 (write it below the dividend). Subtract 540 - 540 = 0.
Final Step:The division is complete with no remainder. 1440 divides exactly by 90 to give 16.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 144 | 1 | 1 × 90 = 90 | 144 - 90 = 54 | 54 |
| 2 | 540 | 6 | 6 × 90 = 540 | 540 - 540 = 0 | 0 |
Perfect division: 1440 divides evenly by 90 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.
See Also
- About a number - 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 (e.g. '29224' or '58.5') and divisor (e.g. '4' or '1.25') to get detailed solution with visualization.