700 divided by 30 what is quotient and what is remainder
The correct answer and explanation is:
Correct Answer:
- Quotient: 23
- Remainder: 10
Explanation (300 words):
When dividing one number by another, we break the dividend into equal groups based on the divisor. The result consists of two parts:
- Quotient – the number of complete times the divisor fits into the dividend.
- Remainder – the amount left over after forming all complete groups.
Let’s examine the problem:
We are dividing 700 by 30.
Step 1: Find how many times 30 goes into 700.
To do this, divide: 700÷30=23 remainder 10700 \div 30 = 23 \text{ remainder } 10
How did we get this?
- Multiply 30 by a number close to 700:
30×23=69030 \times 23 = 690 - Now subtract 690 from 700 to find what’s left: 700−690=10700 – 690 = 10
This 10 is the remainder — the part of 700 that is left over after dividing by 30 as many full times as possible.
So:
- Quotient = 23 (because 30 fits into 700 exactly 23 times)
- Remainder = 10 (because 10 units are left after subtracting 690)
Why This Matters:
Understanding quotient and remainder is essential in many areas of math, including division, modular arithmetic, and problem-solving in programming and real-life situations (like splitting items evenly).
For instance, if you have 700 shillings and want to give each person 30 shillings, you can only give 23 people a full share. You’ll be left with 10 shillings that aren’t enough for another full share — that’s your remainder.
This concept also helps in converting between mixed numbers and improper fractions, performing long division, and understanding how division is structured.
In summary: 700÷30=23 R 10700 \div 30 = 23 \text{ R } 10