Long Division: 978 ÷ 3
Long Division Calculator
How to perform long division of 978 by 3?
Answer
978 ÷ 3 = 326
✓ exact division
978 ÷ 3 = 326
Visual Long Division
3
2
6
3
9
7
8
−
90
7
−
61
8
−
18
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 978 ÷ 3 using long division method step by step:
Step 1:Take the number 9 and divide by 3. We get 3 (write it in the quotient). Multiply 3 × 3 = 9 (write it below the dividend). Subtract 9 - 9 = 0.
Step 2:Take the number 7 and divide by 3. We get 2 (write it in the quotient). Multiply 2 × 3 = 6 (write it below the dividend). Subtract 7 - 6 = 1. The remainder 1 is carried to the next step.
Step 3:Take the number 18 and divide by 3. We get 6 (write it in the quotient). Multiply 6 × 3 = 18 (write it below the dividend). Subtract 18 - 18 = 0.
Final Step:The division is complete with no remainder. 978 divides exactly by 3 to give 326.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 9 | 3 | 3 × 3 = 9 | 9 - 9 = 0 | 0 |
| 2 | 7 | 2 | 2 × 3 = 6 | 7 - 6 = 1 | 1 |
| 3 | 18 | 6 | 6 × 3 = 18 | 18 - 18 = 0 | 0 |
Perfect division: 978 divides evenly by 3 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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- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
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Long Division Table
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 978 by 3? (The answer is: The division of 978 by 3 is exact. Result: 978 ÷ 3 = 326.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.