224 divided by 3

Understand the Problem

The question is asking for the result of dividing 224 by 3, which is a simple arithmetic operation.

Answer

$74 \text{ R } 2$
Answer for screen readers

The final result is $74 \text{ R } 2$.

Steps to Solve

  1. Perform Division Start by dividing 224 by 3. $$ 224 \div 3 $$

  2. Calculate Quotient When you divide, determine how many times 3 fits into 224. 3 fits into 22, which is 7 times (since $3 \times 7 = 21$).

  3. Subtract and Bring Down Subtract 21 from 22 to get 1, then bring down the next digit (4) to make it 14. Now, divide again: $$ 14 \div 3 $$ 3 fits into 14, which is 4 times (since $3 \times 4 = 12$).

  4. Final Subtraction Subtract 12 from 14 to get 2, now there are no digits left to bring down, but you can express the remainder. So, the division can be expressed as: $$ 224 = 3 \times 74 + 2 $$

Thus, $224 \div 3 = 74$ with a remainder of 2.

The final result is $74 \text{ R } 2$.

More Information

Dividing larger numbers often involves long division. In this case, we found that 224 divided by 3 gives a quotient of 74, with a remainder of 2. This means if you multiply 3 by 74 and add 2, you'll get back to 224, which is a good way to verify your division.

Tips

  • Misplacing numbers when bringing them down during long division; ensure the correct second number is used.
  • Forgetting to account for the remainder. It’s important to specify that there is something left after division.
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