How Do You Divide 51 by 3?

Let’s find the result of:

$$ \frac{51}{3} $$

using short division. This method is quick and works well when the divisor is a single-digit number.

Understand the Division Terms

  • Dividend: 51 (the number to be divided)
  • Divisor: 3 (the number dividing the dividend)
  • Quotient: the result of the division
  • Remainder: what’s left over (if any)

Step-by-Step: 51 ÷ 3

Step 1: Divide 3 into 5

$$ 5 \div 3 = 1 \text{ with a remainder of } 2 $$

Write 1 in the quotient. Carry the remainder 2 to the next digit, giving 21.

Step 2: Divide 3 into 21

$$ 21 \div 3 = 7 $$

Write 7 in the quotient.

Final Answer

The complete quotient is:

$$ \boxed{51 \div 3 = 17} $$

There is no remainder.

Check Your Answer

Multiply the quotient by the divisor:

$$ 3 \times 17 = 51 $$

✅ This matches the dividend, so the answer is correct.

Summary

To divide 51 by 3:

  1. Divide each digit starting from the left.
  2. Carry remainders as needed.
  3. Write the results in the quotient.

So,

$$ \frac{51}{3} = 17 $$