Long Division: 1680 ÷ 48
Long Division Calculator
How to perform long division of 1,680 by 48?
Answer
1,680 ÷ 48 = 35
✓ exact division
1,680 ÷ 48 = 35
Visual Long Division
0
0
3
5
4
8
1
6
8
0
−
14
4
2
4
0
−
24
0
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 1,680 ÷ 48 using long division method step by step:
Step 1:Take the number 168 and divide by 48. We get 3 (write it in the quotient). Multiply 3 × 48 = 144 (write it below the dividend). Subtract 168 - 144 = 24. The remainder 24 is carried to the next step.
Step 2:Take the number 240 and divide by 48. We get 5 (write it in the quotient). Multiply 5 × 48 = 240 (write it below the dividend). Subtract 240 - 240 = 0.
Final Step:The division is complete with no remainder. 1,680 divides exactly by 48 to give 35.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 168 | 3 | 3 × 48 = 144 | 168 - 144 = 24 | 24 |
| 2 | 240 | 5 | 5 × 48 = 240 | 240 - 240 = 0 | 0 |
Perfect division: 1,680 divides evenly by 48 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.
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- Number Facts & Properties - 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
- Percentage Calculator: Fraction to Percent - What percentage one number is of another? Convert fraction into a percentage
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Long Division Table
| Division | Quotient | Remainder |
|---|---|---|
| 1,673 ÷ 48 | 34 | 41 |
| 1,674 ÷ 48 | 34 | 42 |
| 1,675 ÷ 48 | 34 | 43 |
| 1,676 ÷ 48 | 34 | 44 |
| 1,677 ÷ 48 | 34 | 45 |
| 1,678 ÷ 48 | 34 | 46 |
| 1,679 ÷ 48 | 34 | 47 |
| 1,680 ÷ 48 | 35 | 0 |
| 1,681 ÷ 48 | 35 | 1 |
| 1,682 ÷ 48 | 35 | 2 |
| 1,683 ÷ 48 | 35 | 3 |
| 1,684 ÷ 48 | 35 | 4 |
| 1,685 ÷ 48 | 35 | 5 |
| 1,686 ÷ 48 | 35 | 6 |
| 1,687 ÷ 48 | 35 | 7 |
Long Division Calculator
Long division calculator with step-by-step explanation. Enter dividend and divisor to get a detailed solution with visualization. For example, it can help you find out how to perform long division of 1,680 by 48? (The answer is: The division of 1,680 by 48 is exact. Result: 1,680 ÷ 48 = 35.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.