Long Division: 993 ÷ 32
"Long Division Calculator" Calculator
How to divide 993 by 32 using long division and find the remainder?
Answer: 993 ÷ 32 = 31 remainder 1
993 ÷ 32 = 31 remainder 1
Visual Long Division
0
3
1
3
2
9
9
3
−
96
3
3
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32
1
This shows the traditional long division layout used in schools, with each step clearly marked.
Step-by-Step Explanation
Here's how to solve 993 ÷ 32 using long division method step by step:
Step 1:Take the number 99 and divide by 32. We get 3 (write it in the quotient). Multiply 3 × 32 = 96 (write it below the dividend). Subtract 99 - 96 = 3. The remainder 3 is carried to the next step.
Step 2:Take the number 33 and divide by 32. We get 1 (write it in the quotient). Multiply 1 × 32 = 32 (write it below the dividend). Subtract 33 - 32 = 1. The remainder 1 is carried to the next step.
Final Step:The remainder 1 is smaller than the divisor 32, so the division is complete. The final answer is 31 with remainder 1.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 99 | 3 | 3 × 32 = 96 | 99 - 96 = 3 | 3 |
| 2 | 33 | 1 | 1 × 32 = 32 | 33 - 32 = 1 | 1 |
Final remainder: 1
Since 1 is less than 32, we cannot divide further. The final answer is 31 with remainder 1.
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.