Long Division: 9998 ÷ 72
"Long Division Calculator" Calculator
How to divide 9998 by 72 using long division and find the remainder?
Answer: 9998 ÷ 72 = 138 remainder 62
9998 ÷ 72 = 138 remainder 62
Visual Long Division
0
1
3
8
7
2
9
9
9
8
−
72
2
7
9
−
21
6
6
3
8
−
57
6
6
2
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 9998 ÷ 72 using long division method step by step:
Step 1:Take the number 99 and divide by 72. We get 1 (write it in the quotient). Multiply 1 × 72 = 72 (write it below the dividend). Subtract 99 - 72 = 27. The remainder 27 is carried to the next step.
Step 2:Take the number 279 and divide by 72. We get 3 (write it in the quotient). Multiply 3 × 72 = 216 (write it below the dividend). Subtract 279 - 216 = 63. The remainder 63 is carried to the next step.
Step 3:Take the number 638 and divide by 72. We get 8 (write it in the quotient). Multiply 8 × 72 = 576 (write it below the dividend). Subtract 638 - 576 = 62. The remainder 62 is carried to the next step.
Final Step:The remainder 62 is smaller than the divisor 72, so the division is complete. The final answer is 138 with remainder 62.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 99 | 1 | 1 × 72 = 72 | 99 - 72 = 27 | 27 |
| 2 | 279 | 3 | 3 × 72 = 216 | 279 - 216 = 63 | 63 |
| 3 | 638 | 8 | 8 × 72 = 576 | 638 - 576 = 62 | 62 |
Final remainder: 62
Since 62 is less than 72, we cannot divide further. The final answer is 138 with remainder 62.
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.