How to divide the number 312.512 by 5 using long division

To divide 312.512 by 5 using long division, follow these steps:

### Step 1: Set up the division
Write \(312.512 \div 5\). You will divide the whole number part first and then deal with the decimal part.

### Step 2: Divide the first digit (3)
- 5 goes into 3 **0** times. So, the first quotient digit is 0.
- Write 0 above the division bar.
- Multiply 0 by 5, which gives 0.
- Subtract 0 from 3, which leaves 3.

### Step 3: Bring down the next digit (1)
- Now you have 31.
- 5 goes into 31 **6** times.
- Write 6 above the division bar.
- Multiply 6 by 5, which gives 30.
- Subtract 30 from 31, leaving a remainder of 1.

### Step 4: Bring down the next digit (2)
- Now you have 12.
- 5 goes into 12 **2** times.
- Write 2 above the division bar.
- Multiply 2 by 5, which gives 10.
- Subtract 10 from 12, leaving a remainder of 2.

### Step 5: Bring down the decimal point and next digit (5)
- Now bring down the decimal point and the next digit, making it 25.
- 5 goes into 25 **5** times.
- Write 5 after the decimal point.
- Multiply 5 by 5, which gives 25.
- Subtract 25 from 25, leaving a remainder of 0.

### Step 6: Bring down the next digit (1)
- Bring down the next digit, which is 1.
- 5 goes into 1 **0** times.
- Write 0 after 5.
- Subtract, leaving 1.

### Step 7: Bring down the final digit (2)
- Bring down the next digit, making it 12.
- 5 goes into 12 **2** times.
- Write 2 after 0.
- Multiply 2 by 5, which gives 10.
- Subtract 10 from 12, leaving a remainder of 2.

### Step 8: Add a zero and continue
- Bring down an additional 0 to continue the division. Now you have 20.
- 5 goes into 20 **4** times.
- Write 4 after 2.
- Subtract, leaving 0.

### Final Answer
The result of dividing \(312.512 \div 5 = 62.5024\).

Would you like any details on specific steps?

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Here are 5 related questions you might explore:
1. How do you perform long division with larger divisors?
2. What are the steps to divide decimals by whole numbers?
3. How do you convert a repeating decimal from long division into a fraction?
4. What is the process for dividing two decimals?
5. How do you check division results using multiplication?

**Tip**: Always align your decimal points during long division to ensure accuracy!

Learn how to divide 312.512 by 5 using long division. This detailed guide walks through each step, including handling decimals and interpreting the remainder. Perfect for students in Grades 5-7 looking to understand long division with decimals.

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