Long Division: 57816 ÷ 72
"Long Division Calculator" Calculator
How to perform long division of 57816 by 72?
Answer: 57816 ÷ 72 = 803✓ exact division
57816 ÷ 72 = 803
Visual Long Division
0
0
8
0
3
7
2
5
7
8
1
6
−
57
6
2
1
−
21
6
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 57816 ÷ 72 using long division method step by step:
Step 1:Take the number 578 and divide by 72. We get 8 (write it in the quotient). Multiply 8 × 72 = 576 (write it below the dividend). Subtract 578 - 576 = 2. The remainder 2 is carried to the next step.
Step 2:Number 21 is less than divisor 72, so we write 0 in the quotient and move to the next digit.
Step 3:Take the number 216 and divide by 72. We get 3 (write it in the quotient). Multiply 3 × 72 = 216 (write it below the dividend). Subtract 216 - 216 = 0.
Final Step:The division is complete with no remainder. 57816 divides exactly by 72 to give 803.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 578 | 8 | 8 × 72 = 576 | 578 - 576 = 2 | 2 |
| 2 | 21 | 0 | 0 × 72 = 0 | 21 - 0 = 21 | 21 |
| 3 | 216 | 3 | 3 × 72 = 216 | 216 - 216 = 0 | 0 |
Perfect division: 57816 divides evenly by 72 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.