4. Find the quotient of 583 and 5.

Question

UpStudy AI · Accepted Answer

We start with the division $$ 583 \div 5 $$. Using the division algorithm, we express the dividend as

$$
583 = 5 \times Q + R,
$$

where $$ Q $$ is the quotient and $$ R $$ is the remainder.

1. Find $$ Q $$ by dividing:

$$
Q = \lfloor 583 \div 5 \rfloor = 116,
$$

since

$$
5 \times 116 = 580.
$$

2. Compute the remainder $$ R $$:

$$
R = 583 - 580 = 3.
$$

Thus, the quotient is $$ 116 $$ with a remainder of $$ 3 $$, and the division can also be expressed as:

$$
583 \div 5 = 116 \text{ R } 3.
$$

If we write this as a decimal:

$$
583 \div 5 = 116.6.
$$
The quotient of 583 divided by 5 is 116 with a remainder of 3, or 116.6 in decimal form.

Find the quotient of 583 and 5.