How so I show my work with 624 Divided by 3

How so I show my work with 624 Divided by 3

The Correct Answer and Explanation is:

Answer:

208


Showing Your Work:

We use long division to divide 624 by 3 step-by-step.

Step 1: Divide the first digit (6)

  • 3 goes into 6 2 times.
  • Write 2 above the line.
  • 2 × 3 = 6.
  • Subtract: 6 – 6 = 0

Step 2: Bring down the next digit (2)

  • Now divide 2 by 3.
  • 3 does not go into 2.
  • Write 0 above the line.
  • 0 × 3 = 0.
  • Subtract: 2 – 0 = 2

Step 3: Bring down the last digit (4)

  • Now you have 24.
  • 3 goes into 24 8 times.
  • Write 8 above the line.
  • 8 × 3 = 24.
  • Subtract: 24 – 24 = 0

So, the quotient is 208, with no remainder.


Explanation:

To divide 624 by 3 and explain it clearly, we use the long division method, which breaks the problem into smaller parts. This helps us understand each step instead of trying to solve it all at once.

Start with the number 624. You divide from left to right, beginning with the digit in the hundreds place. In this case, the first digit is 6. Since 3 goes into 6 exactly 2 times, you write 2 above the line. Multiply 2 by 3 to get 6, and subtract that from the 6, leaving 0.

Next, bring down the 2 from the tens place. You now need to divide 2 by 3. Since 3 doesn’t go into 2 evenly, you write a 0 above the line. Then, bring down the next digit, which is 4. Now you’re dividing 24 by 3. Since 3 goes into 24 exactly 8 times, you write 8 above the line.

Putting it all together, the digits you wrote above the line—2, 0, and 8—form the answer: 208.

This method is important because it shows your thought process. If you make a mistake, a teacher can look at your steps and explain where you went wrong. Also, by breaking it down, you practice multiplication and subtraction too. Showing your work proves you understand the concept, not just the answer.

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