Problem 113 - Algebra and Trigonometry

Question

Divide 737 by 21 without using a calculator. Write the answer as quotient \(+\frac{\text { remainder }}{\text { divisor }}\)

Step-by-Step Solution

Answer

The final result is \(35 + \frac{2}{21}\)

Step 1: Divide without a Remainder

First, fit the divisor, which is 21, into the dividend, which is 737. This will give us the quotient. So, 737 divided by 21 gives us 35 times since \(35 \times 21 = 735\). This means the divisor (21) can be multiplied at most 35 times to equate to the dividend (737).

Step 2: Find the Remainder

Next, you would subtract the product of the quotient and the divisor from the dividend to find the remainder. Which means you subtract \(35 \times 21\) from 737. Thus, \(737 - (35 \times 21) = 737 - 735 = 2\). So, the remainder is 2.

Step 3: Write the Final Result

Lastly, the result should be written as quotient + remainder/divisor. Which is \(35 + \frac{2}{21}\)