Long Division: 988 ÷ 96
"Long Division Calculator" Calculator
How to divide 988 by 96 using long division and find the remainder?
Answer: 988 ÷ 96 = 10 remainder 28
988 ÷ 96 = 10 remainder 28
Visual Long Division
0
1
0
9
6
9
8
8
−
96
2
8
2
8
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 988 ÷ 96 using long division method step by step:
Step 1:Take the number 98 and divide by 96. We get 1 (write it in the quotient). Multiply 1 × 96 = 96 (write it below the dividend). Subtract 98 - 96 = 2. The remainder 2 is carried to the next step.
Step 2:Number 28 is less than divisor 96, so we write 0 in the quotient and move to the next digit.
Final Step:The remainder 28 is smaller than the divisor 96, so the division is complete. The final answer is 10 with remainder 28.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 98 | 1 | 1 × 96 = 96 | 98 - 96 = 2 | 2 |
| 2 | 28 | 0 | 0 × 96 = 0 | 28 - 0 = 28 | 28 |
Final remainder: 28
Since 28 is less than 96, we cannot divide further. The final answer is 10 with remainder 28.
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
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.
"Long Division Calculator" Calculator
FAQ
How to divide 988 by 96 using long division and find the remainder?
988 ÷ 96 = 10 remainder 28
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