what is 78 ÷ 5 and the remainder
The correct answer and explanation is:
Correct Answer:
78 ÷ 5 = 15 remainder 3
Explanation (300 words):
Division is the process of splitting a number (called the dividend) into equal parts based on another number (called the divisor). In this case, 78 is the dividend and 5 is the divisor.
To find how many times 5 fits into 78:
Start by thinking:
- 5 × 10 = 50
- 5 × 15 = 75
- 5 × 16 = 80 (this is too much)
So, the highest multiple of 5 that is less than or equal to 78 is 5 × 15 = 75.
Now subtract this from 78 to find the remainder:
- 78 − 75 = 3
So, 78 ÷ 5 equals 15 with a remainder of 3. This can also be written as:
- 78 ÷ 5 = 15 R3
If you want to express this as a mixed number, you take the quotient and add the remainder over the divisor: 78÷5=153578 \div 5 = 15 \frac{3}{5}
Or, as a decimal, divide 3 by 5: 78÷5=15+35=15+0.6=15.678 \div 5 = 15 + \frac{3}{5} = 15 + 0.6 = 15.6
But since you asked specifically for the answer with a remainder, the final answer is:
78 ÷ 5 = 15 remainder 3
Why it’s important:
Understanding remainders is key in arithmetic, especially in real-life problems involving groupings, measurements, or distribution where division may not result in whole numbers. For example, if 78 candies are divided among 5 children, each child gets 15 candies, and 3 candies will be left over.