To solve the division of 17 by 3, let's go through the process step-by-step:
1. Division: First, divide 17 by 3. The result is approximately 5.6667. This is a non-terminating decimal, and it represents the exact division of the two numbers.
2. Quotient: To find the quotient, we look at the integer part of the division. When dividing 17 by 3, the quotient is 5, because 3 goes into 17 five times without exceeding it.
3. Remainder: The remainder is what is left after we subtract the product of the quotient and the divisor from the dividend.
- Multiply the quotient (5) by the divisor (3): [tex]\(5 \times 3 = 15\)[/tex].
- Subtract this product from the original number (17): [tex]\(17 - 15 = 2\)[/tex].
So, putting it all together:
- The approximate division result is [tex]\(17 / 3 \approx 5.6667\)[/tex].
- The quotient when 17 is divided by 3 is 5.
- The remainder when 17 is divided by 3 is 2.
Thus, we have the results [tex]\(5.6667\)[/tex], [tex]\(5\)[/tex], and [tex]\(2\)[/tex] for the division, quotient, and remainder, respectively.
