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Chalkboard displaying the long division of 4179 by 7, resulting in 597.

Long division problem 4179 ÷ 7 written in white chalk on a black chalkboard, with the quotient 597 shown above the dividend.

Long division problem 4179 ÷ 7 written in white chalk on a black chalkboard, with the quotient 597 shown above the dividend.

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Show Answer Key & Explanations Step-by-step solution for: How to Do Long Division: Step-by-Step Instructions | HowStuffWorks
The image shows a long division problem written on a blackboard:

```
597
7 | 4179
```

We are dividing 4179 by 7, and the quotient is shown as 597. Let's verify if this is correct by performing the division step-by-step.

---

Step 1: Divide 4179 ÷ 7



We'll perform long division:

#### Step 1.1: Divide 41 ÷ 7
- 7 goes into 41 5 times (since 7 × 5 = 35)
- Subtract: 41 - 35 = 6
- Bring down the next digit: 7 → makes 67

#### Step 1.2: Divide 67 ÷ 7
- 7 goes into 67 9 times (7 × 9 = 63)
- Subtract: 67 - 63 = 4
- Bring down the next digit: 9 → makes 49

#### Step 1.3: Divide 49 ÷ 7
- 7 goes into 49 7 times (7 × 7 = 49)
- Subtract: 49 - 49 = 0

---

Final Result:


- Quotient: 597
- Remainder: 0

So,
$$
4179 ÷ 7 = 597
$$

The division is correct.

---

Verification:


Multiply to check:
$$
597 × 7 = ?
$$

Break it down:
- 500 × 7 = 3500
- 90 × 7 = 630
- 7 × 7 = 49
- Total: 3500 + 630 = 4130; 4130 + 49 = 4179

Confirmed!

---

Final Answer:


$$
\boxed{597}
$$

The division is correct: $ 4179 \div 7 = 597 $.
Parent Tip: Review the logic above to help your child master the concept of basic division step by step.
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