What is 172 Divided by 23?
The question "172 divided by 23" asks us to find out how many times 23 goes into 172. This is a basic division problem that can be solved using a calculator or by hand.
Understanding Division
Division is one of the four basic arithmetic operations (addition, subtraction, multiplication, and division). It involves splitting a whole number into equal parts. In the expression "172 divided by 23," 172 is the dividend and 23 is the divisor.
Calculating 172 Divided by 23
Using a Calculator:
The easiest way to find the answer is to use a calculator. Simply input "172 ÷ 23" and press the equals button. The result will be 7.5.
Performing Long Division:
If you don't have a calculator, you can perform long division by hand:
- Set up: Write 23 as the divisor outside the division symbol and 172 as the dividend inside.
- Divide: Ask yourself, "How many times does 23 go into 172?" Since 23 goes into 172 7 times, write 7 above the 2 in the dividend.
- Multiply: Multiply the divisor (23) by the quotient (7), which gives you 161. Write 161 below the 172.
- Subtract: Subtract 161 from 172, which gives you 11.
- Bring down: Bring down the next digit (which is 0, since 172 is a whole number).
- Repeat: Now you have 110. Ask yourself, "How many times does 23 go into 110?" It goes in 4 times (with a remainder).
- Write the remainder: Since there are no more digits to bring down, the remainder is 18. This means 23 goes into 172 7 times with a remainder of 18.
Therefore, 172 divided by 23 is 7.5 or 7 with a remainder of 18.
Applications of Division
Division is a fundamental concept used in various applications, including:
- Sharing: Dividing a quantity equally among a group of people.
- Measurement: Determining the number of units of a specific size that fit into a larger quantity.
- Calculating averages: Dividing the sum of a set of numbers by the total number of values.
- Scaling: Finding a proportional value for a given quantity.
Conclusion
The answer to the question "172 divided by 23" is 7.5, or 7 with a remainder of 18. Understanding division is crucial for various mathematical calculations and real-life applications.