Long Division: 1425 ÷ 75
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How to perform long division of 1425 by 75?
Answer: 1425 ÷ 75 = 19✓ exact division
1425 ÷ 75 = 19
Visual Long Division
0
0
1
9
7
5
1
4
2
5
−
75
6
7
5
−
67
5
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 1425 ÷ 75 using long division method step by step:
Step 1:Take the number 142 and divide by 75. We get 1 (write it in the quotient). Multiply 1 × 75 = 75 (write it below the dividend). Subtract 142 - 75 = 67. The remainder 67 is carried to the next step.
Step 2:Take the number 675 and divide by 75. We get 9 (write it in the quotient). Multiply 9 × 75 = 675 (write it below the dividend). Subtract 675 - 675 = 0.
Final Step:The division is complete with no remainder. 1425 divides exactly by 75 to give 19.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 142 | 1 | 1 × 75 = 75 | 142 - 75 = 67 | 67 |
| 2 | 675 | 9 | 9 × 75 = 675 | 675 - 675 = 0 | 0 |
Perfect division: 1425 divides evenly by 75 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.