290 divided by 3

Daniel Parker

2 min read

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27-02-2025

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Introduction:

Learning how to perform long division is a fundamental math skill. This article will walk you through the process of dividing 290 by 3, explaining each step clearly. Understanding this process will help you tackle more complex division problems in the future. We'll cover the method, the answer, and some practical applications.

Understanding Long Division

Long division is a method for dividing larger numbers into smaller, more manageable parts. It involves a series of steps that break down the problem into smaller, easier-to-solve pieces. The process involves dividing, multiplying, subtracting, and bringing down digits. Let's apply this to 290 divided by 3.

Step-by-Step Solution: 290 ÷ 3

1. Set up the problem: Write the problem as 3 ) 290. The number you're dividing by (3) is the divisor. The number you're dividing (290) is the dividend.

2. Divide the first digit: How many times does 3 go into 2? It doesn't go in at all, so we move to the next digit.

3. Divide the first two digits: How many times does 3 go into 29? It goes in 9 times (3 x 9 = 27). Write the 9 above the 9 in 290.

4. Multiply and subtract: Multiply the quotient (9) by the divisor (3): 9 x 3 = 27. Subtract this result from the first two digits of the dividend: 29 - 27 = 2.

5. Bring down the next digit: Bring down the next digit from the dividend (0), placing it next to the 2, making it 20.

6. Divide again: How many times does 3 go into 20? It goes in 6 times (3 x 6 = 18). Write the 6 above the 0 in 290.

7. Multiply and subtract: Multiply the quotient (6) by the divisor (3): 6 x 3 = 18. Subtract this result from 20: 20 - 18 = 2.

8. Remainder: The number 2 is the remainder. This means that 3 goes into 290 96 times with 2 left over.

Therefore, 290 divided by 3 is 96 with a remainder of 2. This can also be written as 96 R 2 or 96 and 2/3.

Representing the Answer

The answer, 96 with a remainder of 2, can be expressed in several ways:

• Mixed Number: 96 2/3 (Ninety-six and two-thirds) This represents the whole number result (96) and the fractional part of the remainder (2/3).

• Decimal: Approximately 96.666... (The decimal representation will repeat infinitely). Calculators provide a more precise decimal answer to a set number of decimal places.

Practical Applications

Understanding division is essential for everyday life:

• Sharing: Imagine sharing 290 cookies among 3 friends. Each friend gets 96 cookies, and there are 2 cookies left over.

• Measurement: If you need to cut a 290-inch rope into 3 equal pieces, each piece would be 96 and 2/3 inches long.

• Calculations: Many real-world problems, from calculating unit prices to determining averages, require division.

Conclusion: Mastering 290 Divided by 3

Mastering long division, as demonstrated with the example of 290 divided by 3, builds a strong foundation for more complex mathematical concepts. Remember the steps – divide, multiply, subtract, and bring down – and you’ll be well on your way to confidently tackling any division problem you encounter. Understanding remainders and different ways to express the answer expands your problem-solving skills further.