What Is 64 Divided By 3?

To solve $64 \div 3$, we’ll use the short division method, a quick and efficient technique especially useful with small divisors.

Understanding the Terms

  • Dividend: The number being divided ($64$)
  • Divisor: The number you’re dividing by ($3$)
  • Quotient: The result of the division
  • Remainder: What’s left over if the division isn’t exact

Step-by-Step: $64 \div 3$

Step 1: Divide $3$ into $6$

$$ 6 \div 3 = 2 $$

Write $2$ above the $6$.

Step 2: Divide $3$ into $4$

$$ 4 \div 3 = 1\ \text{remainder }1 $$

Write $1$ above the $4$ and note the remainder $1$.

Final Answer

The division of $64$ by $3$ gives:

$$ \boxed{64 \div 3 = 21\ \text{r}1} $$

Check Your Answer

Multiply the quotient by the divisor and add the remainder:

$$ 3 \times 21 = 63 \ 63 + 1 = 64 $$

✅ The result matches the original dividend.

Summary

To divide $64$ by $3$ using short division:

  1. Divide each digit in sequence from left to right.
  2. Carry over any remainders to the next digit.
  3. Record the quotient and any final remainder.

So:

$$ \boxed{64 \div 3 = 21\ \text{remainder }1} $$