Question

Use long division to find the quotient of 22
÷
÷ 5

Answer 1

To perform long division to find the quotient of \( 22 \div 5 \), follow these steps:

1. **Set up the division**: Write \( 22 \) (the dividend) under the long division bracket and \( 5 \) (the divisor) outside.

```
______
5 | 22
```

2. **Determine how many times \( 5 \) goes into \( 22 \)**: Since \( 5 \times 4 = 20 \) and \( 5 \times 5 = 25 \), \( 5 \) goes into \( 22 \) four times.

3. **Multiply and subtract**: Multiply \( 5 \) by \( 4 \) and write the result (which is \( 20 \)) under \( 22 \).

```
4
______
5 | 22
-20
------
2
```

4. **Subtract**: Subtract \( 20 \) from \( 22 \), which leaves \( 2 \).

5. **Check for remainders**: Since \( 2 \) is less than \( 5 \), it cannot be divided further.

Thus, the quotient is \( 4 \) with a remainder of \( 2 \).

The result can be expressed as:

- Quotient: \( 4 \)
- Remainder: \( 2 \)

If you want to express this as a decimal, you can continue the division by adding a decimal point and a zero to the remainder, making it \( 2.0 \).

- Bring down the \( 0 \) making it \( 20 \).
- \( 5 \) goes into \( 20 \) exactly \( 4 \) times with no remainder.

So the full result is:

\[
22 \div 5 = 4.4
\]

In conclusion, the answer to \( 22 \div 5 \) is \( 4 \) with a remainder of \( 2 \) or \( 4.4 \) in decimal form.