Answer :
To solve the division problem [tex]\(493 \div 101\)[/tex], let's go through the process step-by-step:
1. Determine the Quotient:
- Begin by seeing how many times 101 can fit into 493 using whole numbers.
- Start with estimating:
- [tex]\(101 \times 4 = 404\)[/tex]
- [tex]\(101 \times 5 = 505\)[/tex] (which is too large, as 505 is greater than 493).
- Therefore, the quotient is 4 because 404 is the highest multiple of 101 that is still less than 493.
2. Calculate the Remainder:
- Subtract the product of the quotient and divisor from the dividend.
- Calculate [tex]\(493 - 404 = 89\)[/tex].
So, when you divide 493 by 101, the quotient is 4 and the remainder is 89.
Therefore, the correct answer is option D: [tex]\(4 \, \text{r} \, 89\)[/tex].
1. Determine the Quotient:
- Begin by seeing how many times 101 can fit into 493 using whole numbers.
- Start with estimating:
- [tex]\(101 \times 4 = 404\)[/tex]
- [tex]\(101 \times 5 = 505\)[/tex] (which is too large, as 505 is greater than 493).
- Therefore, the quotient is 4 because 404 is the highest multiple of 101 that is still less than 493.
2. Calculate the Remainder:
- Subtract the product of the quotient and divisor from the dividend.
- Calculate [tex]\(493 - 404 = 89\)[/tex].
So, when you divide 493 by 101, the quotient is 4 and the remainder is 89.
Therefore, the correct answer is option D: [tex]\(4 \, \text{r} \, 89\)[/tex].
