375 divided by 15

Charlotte

2 min read

·

27-02-2025

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Understanding Division

Division is one of the four basic arithmetic operations, alongside addition, subtraction, and multiplication. It's essentially the process of splitting a quantity into equal parts. In the case of "375 divided by 15," we're figuring out how many times 15 goes into 375.

Methods for Solving 375 ÷ 15

There are several ways to solve this division problem:

• Long Division: This is a traditional method, perfect for understanding the process step-by-step.
• Calculator: The quickest and easiest way, especially for larger numbers.
• Mental Math (for experienced users): This involves breaking down the numbers to make the division easier.

Let's focus on long division as it provides a deeper understanding.

Performing Long Division: 375 ÷ 15

Here's how to solve 375 divided by 15 using long division:

1. Set up the problem: Write 15 (the divisor) outside the long division symbol and 375 (the dividend) inside.

       _____
   15 | 375
   

2. Divide the first digit(s): How many times does 15 go into 3? It doesn't, so we consider the first two digits: 37. 15 goes into 37 twice (15 x 2 = 30). Write the "2" above the 7.

       2____
   15 | 375
   

3. Multiply and subtract: Multiply the quotient (2) by the divisor (15): 2 x 15 = 30. Write 30 below 37 and subtract: 37 - 30 = 7.

       2____
   15 | 375
       30
       --
        7
   

4. Bring down the next digit: Bring down the next digit from the dividend (5) to make 75.

       2____
   15 | 375
       30
       --
        75
   

5. Divide again: How many times does 15 go into 75? It goes in 5 times (15 x 5 = 75). Write the "5" above the 5.

       25___
   15 | 375
       30
       --
        75
   

6. Multiply and subtract: Multiply the quotient (5) by the divisor (15): 5 x 15 = 75. Write 75 below 75 and subtract: 75 - 75 = 0.

       25
   15 | 375
       30
       --
        75
        75
        --
         0
   

7. The answer: The remainder is 0, so 375 divided by 15 is exactly 25.

Answer and Verification

Therefore, 375 divided by 15 = 25.

You can verify this answer by multiplying the quotient (25) by the divisor (15): 25 x 15 = 375. This confirms our answer is correct.

Alternative Methods: Mental Math and Calculators

While long division provides a clear understanding of the process, using a calculator offers a quick solution. Simply enter "375 ÷ 15" into your calculator to obtain the answer, 25.

Mental math techniques, such as breaking down the numbers into factors, can also be used. For example, you could recognize that 15 is 3 x 5. Dividing 375 by 3 gives 125. Then dividing 125 by 5 gives 25.

This article demonstrated how to solve 375 divided by 15 using long division, a calculator, and briefly touched upon mental math strategies. Remember, the best method depends on your comfort level and the complexity of the problem.