290 divided by 3

Breiz Heurope

2 min read

·

10-03-2025

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Meta Description: Learn how to solve 290 divided by 3 with a clear, step-by-step guide. This tutorial breaks down long division, making it easy to understand for all levels. Master this fundamental math concept today!

Long division can seem daunting, but with a systematic approach, it becomes manageable. Let's tackle 290 divided by 3 together. We'll break down the process step-by-step, making it easy to follow. Understanding this fundamental math concept will improve your calculation skills and help with more complex problems later.

Understanding the Problem: 290 ÷ 3

Our problem is to find out how many times the number 3 goes into 290. We'll use long division to find the answer, which includes a quotient (the result of the division) and a remainder (the amount left over).

Step-by-Step Solution: Long Division

Here's how to solve 290 divided by 3 using long division:

1. Set up the problem: Write the problem as 3 | 290.

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 (9 x 3 = 27). Write the 9 above the 9 in 290.

4. Multiply and subtract: Multiply 9 by 3 (9 x 3 = 27). Subtract 27 from 29 (29 - 27 = 2).

5. Bring down the next digit: Bring down the 0 from 290, 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 (6 x 3 = 18). Write the 6 above the 0 in 290.

7. Multiply and subtract: Multiply 6 by 3 (6 x 3 = 18). Subtract 18 from 20 (20 - 18 = 2).

8. Identify the quotient and remainder: The quotient is 96 (the number on top). The remainder is 2 (the number left over after the final subtraction).

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

Alternative Methods: Checking Your Work

You can use other methods to check your long division. One way is to multiply the quotient by the divisor and add the remainder:

(96 x 3) + 2 = 288 + 2 = 290. This confirms our answer is correct.

You can also use a calculator to verify the result. However, understanding the long division process is crucial for building a solid foundation in mathematics.

Practical Applications

Understanding division is essential in various situations, including:

• Sharing equally: Dividing treats among friends.
• Calculating unit prices: Determining the cost per item.
• Scaling recipes: Adjusting ingredient amounts.
• Solving more complex math problems: Division is a building block for more advanced calculations.

Mastering this skill will pay dividends as you continue learning mathematics.

Conclusion

Dividing 290 by 3 might seem challenging at first. But by following the steps of long division methodically, we see it's a straightforward process. Remember the steps, practice regularly, and you’ll confidently tackle similar division problems. The ability to solve 290 divided by 3, and other long division problems, is a valuable skill with broad applications.