Question

65\overline{)997}

Explanation:

Step1: Check divisibility

We are dividing 997 by 65. First, see how many times 65 fits into 99 (the first two digits of 997). \( 65 \times 1 = 65 \), \( 65 \times 2 = 130 \) which is more than 99, so we use 1.
Subtract \( 65 \times 1 = 65 \) from 99: \( 99 - 65 = 34 \).

Step2: Bring down the next digit

Bring down the 7 to make 347. Now, see how many times 65 fits into 347. \( 65 \times 5 = 325 \), \( 65 \times 6 = 390 \) (too big). So we use 5.
Subtract \( 65 \times 5 = 325 \) from 347: \( 347 - 325 = 22 \).

Step3: Write the result

So, \( 997 \div 65 = 15 \) with a remainder of 22, or as a decimal \( 15 + \frac{22}{65} \approx 15.338 \). But for the division setup shown (probably a long division quotient and remainder), the quotient part is 15 and remainder 22. If we consider the division as \( \frac{997}{65} \), the quotient is 15 and remainder 22. But if we just do the division steps for the long division:
The long division of 997 by 65:

• 65 into 99 (first two digits of 997) is 1 (since \( 65 \times 1 = 65 \leq 99 \), \( 65 \times 2 = 130 > 99 \)). Multiply 65 by 1, subtract from 99: \( 99 - 65 = 34 \).
• Bring down 7 to make 347. 65 into 347 is 5 ( \( 65 \times 5 = 325 \leq 347 \), \( 65 \times 6 = 390 > 347 \) ). Multiply 65 by 5, subtract from 347: \( 347 - 325 = 22 \).

So the quotient is 15 and remainder 22. If we write it as a decimal, \( 997 \div 65 = 15.338461... \) approximately. But based on the long division setup, the calculation gives quotient 15 and remainder 22, or the decimal value.

Answer:

If we do the long division, \( 997 \div 65 = 15 \) remainder \( 22 \), or as a decimal approximately \( 15.34 \) (rounded to two decimal places). The quotient is \( 15 \) with remainder \( 22 \), or the decimal result is approximately \( 15.34 \).