290 divided by 3

Charlotte

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01-03-2025

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Understanding Long Division

Long division is a method used to solve division problems, especially when dealing with larger numbers that can't be easily solved mentally. It breaks the division problem into smaller, manageable steps. Understanding the process of 290 divided by 3 will help you tackle similar problems in the future. This article will guide you through the process step-by-step.

How to Calculate 290 Divided by 3

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

Step 1: Set up the Problem

Write the problem in the standard long division format:

     _____
3 | 290

Step 2: Divide the Hundreds Digit

We start by dividing the hundreds digit (2) by 3. Since 3 doesn't go into 2 evenly, we move to the next digit.

Step 3: Divide the Tens and Hundreds Digits

Now consider the first two digits (29). 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.

      9
     _____
3 | 290

Step 4: Subtract

Multiply the quotient (9) by the divisor (3): 9 * 3 = 27. Subtract this from the 29: 29 - 27 = 2.

      9
     _____
3 | 290
   -27
     2

Step 5: Bring Down the Next Digit

Bring down the next digit (0) from the dividend (290). This gives you 20.

      9
     _____
3 | 290
   -27
     20

Step 6: Divide Again

Now, divide 20 by 3. Three goes into 20 six times (3 x 6 = 18). Write the 6 above the 0.

      96
     _____
3 | 290
   -27
     20

Step 7: Subtract Again

Multiply the quotient (6) by the divisor (3): 6 * 3 = 18. Subtract this from 20: 20 - 18 = 2.

      96
     _____
3 | 290
   -27
     20
    -18
      2

Step 8: Remainder

Since there are no more digits to bring down, the 2 is the remainder.

Therefore, 290 divided by 3 is 96 with a remainder of 2. This can also be written as 96 R2 or 96 2/3.

Understanding the Remainder

The remainder (2) signifies that after dividing 290 as evenly as possible by 3, there are 2 units left over.

Alternative Representations

The answer can be expressed in a few ways:

• Quotient and Remainder: 96 R 2
• Mixed Number: 96 ⅔ (The remainder becomes the numerator of a fraction, with the divisor as the denominator)
• Decimal: 96.666... (This is a repeating decimal)

This detailed explanation provides a comprehensive understanding of how to calculate 290 divided by 3 using long division. Remember to practice to build your proficiency in long division!