Question

What is the quotient of 234 and 78?

Answer 1

Hint: We need to find the number obtained by dividing 234 by 78. For that we need to calculate the position at which 234 occurs while we write the multiples of 78. We will check a few multiples of 78 and if we are not able to find any multiple that matches, we then will calculate the remainder and the quotient separately.

Complete step by step solution:
Here, the dividend is 234 and the divisor is 78. In order to find what completely divides 234 if we are diving by 78, let’s start by observing some multiples of 78.
We see that $78\times2=156$ which is smaller than 234, so we find a further multiple of 78.
Next, we have 78 multiplied by 3 i.e. $78\times3=234$, which is the required dividend. So, we see that when we divide 234 by 78, we will get 3 i.e. $234\div 78=3$, and it leaves no remainder. So this is the quotient obtained.

Note: We can think of this question using a different approach too. If you approximately see the divisor, it is near 80 and the dividend is near 240 and we know that $80 \times 3=240$, so you can directly do the multiplication near the number 3 itself, to approach the solution faster than usual. This can save time while solving. Also, questions like these are prone to calculation mistakes. While finding the multiples of 78, it might lead to calculation mistakes if not done with proper care. Use things such as estimation to avoid such mistakes, for example you will never get an answer more than 160 while doubling the number 78 because it is less than 80 and double of 80 is 160.