Use long division to find each quotient. a. $$ 99 \div 12 $$

Question

UpStudy AI · Accepted Answer

Certainly! Let's perform the long division of $$ 99 \div 12 $$ step by step.

### Step 1: Set Up the Division

Write 99 (the dividend) inside the long division bracket and 12 (the divisor) outside.

```
   ____
12 ) 99
```

### Step 2: Determine How Many Times 12 Fits into the First Part of 99

- **12 into 9:**  
  12 is larger than 9, so it doesn't fit.  
  **Move to the next digit.**

- **12 into 99:**  
  Determine how many times 12 can fit into 99 without exceeding it.

$$ 12 \times 8 = 96 $$  
  $$ 12 \times 9 = 108 $$ (which is too large)

So, 12 fits into 99 **8 times**.

### Step 3: Multiply and Subtract

- **Multiply:**  
  $$ 8 \times 12 = 96 $$

- **Subtract:**  
  $$ 99 - 96 = 3 $$

Write the 8 above the division bar and the 96 below 99, then subtract.

```
    8
   ____
12 ) 99
     96
     ---
      3
```

### Step 4: Interpret the Remainder

Since 12 cannot divide into 3, we've reached the end of the division. The **quotient** is **8**, and the **remainder** is **3**.

### Final Answer

- **Quotient:** 8
- **Remainder:** 3

This can be expressed in different forms:

1. **With Remainder:**  
   $$ 99 \div 12 = 8 \, \text{R} \, 3 $$

2. **As a Mixed Number:**  
   $$ 8 \frac{3}{12} = 8 \frac{1}{4} $$ (simplifying the fraction)

3. **As a Decimal:**  
   $$ 99 \div 12 = 8.25 $$

### Summary

$$
99 \div 12 = 8 \text{ R } 3 \quad \text{or} \quad 8.25
$$
The quotient is 8 with a remainder of 3, or 8.25.

Use long division to find each quotient. a. \( 99 \div 12 \)