Answer :
To solve the problem of dividing [tex]\(1658\)[/tex] by [tex]\(25\)[/tex], we can follow the process of long division to find the quotient and the remainder. Let's go through this step by step:
1. Set up the division: Write [tex]\(1658\)[/tex] inside the division symbol and [tex]\(25\)[/tex] on the outside.
2. Divide the first group of digits: Consider the first two digits of the dividend, [tex]\(16\)[/tex]. Since [tex]\(25\)[/tex] can't divide into [tex]\(16\)[/tex], we need to consider the first three digits, [tex]\(165\)[/tex].
3. Divide [tex]\(165\)[/tex] by [tex]\(25\)[/tex]:
- [tex]\(25\)[/tex] goes into [tex]\(165\)[/tex] a total of [tex]\(6\)[/tex] times, because [tex]\(25 \times 6 = 150\)[/tex].
- Write [tex]\(6\)[/tex] above the [tex]\(165\)[/tex], and subtract [tex]\(150\)[/tex] from [tex]\(165\)[/tex], leaving a remainder of [tex]\(15\)[/tex].
4. Bring down the next digit: Bring down the next digit from the dividend, which is [tex]\(8\)[/tex], to make the new number [tex]\(158\)[/tex].
5. Divide [tex]\(158\)[/tex] by [tex]\(25\)[/tex]:
- [tex]\(25\)[/tex] goes into [tex]\(158\)[/tex] a total of [tex]\(6\)[/tex] times, because [tex]\(25 \times 6 = 150\)[/tex].
- Write another [tex]\(6\)[/tex] next to the previous [tex]\(6\)[/tex] on top, and subtract [tex]\(150\)[/tex] from [tex]\(158\)[/tex], leaving a remainder of [tex]\(8\)[/tex].
So, the quotient is [tex]\(66\)[/tex] and the remainder is [tex]\(8\)[/tex].
6. Express the remainder as a fraction: Since the remainder is [tex]\(8\)[/tex], it can be expressed as [tex]\(\frac{8}{25}\)[/tex].
Thus, the final result of dividing [tex]\(1658\)[/tex] by [tex]\(25\)[/tex] is [tex]\(66\)[/tex] with a remainder of [tex]\(\frac{8}{25}\)[/tex], or written as a mixed number, [tex]\(66 \frac{8}{25}\)[/tex].
The correct option to check is: [tex]\(66 \frac{8}{25}\)[/tex].
1. Set up the division: Write [tex]\(1658\)[/tex] inside the division symbol and [tex]\(25\)[/tex] on the outside.
2. Divide the first group of digits: Consider the first two digits of the dividend, [tex]\(16\)[/tex]. Since [tex]\(25\)[/tex] can't divide into [tex]\(16\)[/tex], we need to consider the first three digits, [tex]\(165\)[/tex].
3. Divide [tex]\(165\)[/tex] by [tex]\(25\)[/tex]:
- [tex]\(25\)[/tex] goes into [tex]\(165\)[/tex] a total of [tex]\(6\)[/tex] times, because [tex]\(25 \times 6 = 150\)[/tex].
- Write [tex]\(6\)[/tex] above the [tex]\(165\)[/tex], and subtract [tex]\(150\)[/tex] from [tex]\(165\)[/tex], leaving a remainder of [tex]\(15\)[/tex].
4. Bring down the next digit: Bring down the next digit from the dividend, which is [tex]\(8\)[/tex], to make the new number [tex]\(158\)[/tex].
5. Divide [tex]\(158\)[/tex] by [tex]\(25\)[/tex]:
- [tex]\(25\)[/tex] goes into [tex]\(158\)[/tex] a total of [tex]\(6\)[/tex] times, because [tex]\(25 \times 6 = 150\)[/tex].
- Write another [tex]\(6\)[/tex] next to the previous [tex]\(6\)[/tex] on top, and subtract [tex]\(150\)[/tex] from [tex]\(158\)[/tex], leaving a remainder of [tex]\(8\)[/tex].
So, the quotient is [tex]\(66\)[/tex] and the remainder is [tex]\(8\)[/tex].
6. Express the remainder as a fraction: Since the remainder is [tex]\(8\)[/tex], it can be expressed as [tex]\(\frac{8}{25}\)[/tex].
Thus, the final result of dividing [tex]\(1658\)[/tex] by [tex]\(25\)[/tex] is [tex]\(66\)[/tex] with a remainder of [tex]\(\frac{8}{25}\)[/tex], or written as a mixed number, [tex]\(66 \frac{8}{25}\)[/tex].
The correct option to check is: [tex]\(66 \frac{8}{25}\)[/tex].
