Long Division: 748 ÷ 4
Long Division Calculator
How to perform long division of 748 by 4?
Answer
748 ÷ 4 = 187
✓ exact division
748 ÷ 4 = 187
Visual Long Division
1
8
7
4
7
4
8
−
43
4
−
32
2
8
−
28
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 748 ÷ 4 using long division method step by step:
Step 1:Take the number 7 and divide by 4. We get 1 (write it in the quotient). Multiply 1 × 4 = 4 (write it below the dividend). Subtract 7 - 4 = 3. The remainder 3 is carried to the next step.
Step 2:Take the number 34 and divide by 4. We get 8 (write it in the quotient). Multiply 8 × 4 = 32 (write it below the dividend). Subtract 34 - 32 = 2. The remainder 2 is carried to the next step.
Step 3:Take the number 28 and divide by 4. We get 7 (write it in the quotient). Multiply 7 × 4 = 28 (write it below the dividend). Subtract 28 - 28 = 0.
Final Step:The division is complete with no remainder. 748 divides exactly by 4 to give 187.
Division Steps
| Step | Dividend Part | Quotient Digit | Multiply | Subtract | Remainder |
|---|---|---|---|---|---|
| 1 | 7 | 1 | 1 × 4 = 4 | 7 - 4 = 3 | 3 |
| 2 | 34 | 8 | 8 × 4 = 32 | 34 - 32 = 2 | 2 |
| 3 | 28 | 7 | 7 × 4 = 28 | 28 - 28 = 0 | 0 |
Perfect division: 748 divides evenly by 4 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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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 748 by 4? (The answer is: The division of 748 by 4 is exact. Result: 748 ÷ 4 = 187.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.