Question

Divide.

5,323 ÷ 34

Enter your answer as a mixed number in simplest form by filling in the boxes.

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Answer 1

To divide 5,323 by 34, we first perform the division:

1. **Divide**:

\[ 5,323 ÷ 34 \]

Performing the long division, we find how many times 34 can go into 5,323:

- 34 goes into 53 one time (34 * 1 = 34), leaving a remainder of 19 (53 - 34).
- Bring down the next digit (2) to make it 192.
- 34 goes into 192 five times (34 * 5 = 170), leaving a remainder of 22 (192 - 170).
- Bring down the next digit (3) to make it 223.
- 34 goes into 223 six times (34 * 6 = 204), leaving a remainder of 19 (223 - 204).

2. **Summary of division**:

The quotient is 156 with a remainder of 19.

3. **Convert to mixed number**:

Now we can represent this as a mixed number:

\[ \text{Quotient} = 156 + \frac{19}{34} \]

4. **Simplify the fraction**:

The fraction \( \frac{19}{34} \) is already in simplest form, as 19 is a prime number and does not divide 34.

Thus, the final answer as a mixed number is:

\[
\text{Quotient} = 156 \frac{19}{34}
\]

To fill in the boxes:

- Whole number: 156
- Numerator: 19
- Denominator: 34

Final answer:

**156** \( \frac{19}{34} \)