Find the quotient. Then check your answer. $$ 2 4 \longdiv { 7 4 . 4 } $$

Question

UpStudy AI · Accepted Answer

1. Write the problem as a division: We need to compute

$$
   74.4 \div 24
   $$

2. Determine how many times $$24$$ goes into $$74.4$$. Notice that

$$
   24 \times 3 = 72
   $$

Since $$72$$ is less than $$74.4$$ and close, we try $$3$$ as the whole number part of the quotient.

3. Subtract to find the remainder:

$$
   74.4 - 72 = 2.4
   $$

4. Now, see how many times $$24$$ goes into $$2.4$$. Since

$$
   24 \times 0.1 = 2.4,
   $$

we have the decimal part $$0.1$$ for the quotient.

5. Combine the whole part and the decimal part to get:

$$
   3 + 0.1 = 3.1
   $$

Thus, the quotient is $$3.1$$.

6. Check the answer by multiplying the quotient by $$24$$:

$$
   24 \times 3.1 = 24 \times 3 + 24 \times 0.1 = 72 + 2.4 = 74.4
   $$

Since the product equals the original dividend, the answer is correct.
The quotient is 3.1.

Find the quotient. Then check your answer.