Answer :
We want to divide $653$ by $8$. The division algorithm states that
$$
\text{Dividend} = (\text{Divisor} \times \text{Quotient}) + \text{Remainder}
$$
for some integer quotient and remainder.
**Step 1. Finding the Quotient**
Determine how many times $8$ fits into $653$ without exceeding it. Dividing $653$ by $8$, we find that the quotient is
$$
81.
$$
**Step 2. Finding the Remainder**
Multiply the divisor by the quotient:
$$
8 \times 81 = 648.
$$
Subtract this product from the dividend to find the remainder:
$$
653 - 648 = 5.
$$
**Step 3. Write the Final Answer**
Thus, when dividing $653$ by $8$, the quotient is $81$ and the remainder is $5$. In other words,
$$
653 \div 8 = 81 \text{ remainder }5.
$$
$$
\text{Dividend} = (\text{Divisor} \times \text{Quotient}) + \text{Remainder}
$$
for some integer quotient and remainder.
**Step 1. Finding the Quotient**
Determine how many times $8$ fits into $653$ without exceeding it. Dividing $653$ by $8$, we find that the quotient is
$$
81.
$$
**Step 2. Finding the Remainder**
Multiply the divisor by the quotient:
$$
8 \times 81 = 648.
$$
Subtract this product from the dividend to find the remainder:
$$
653 - 648 = 5.
$$
**Step 3. Write the Final Answer**
Thus, when dividing $653$ by $8$, the quotient is $81$ and the remainder is $5$. In other words,
$$
653 \div 8 = 81 \text{ remainder }5.
$$
