How Do You Divide 58 by 3?

Let’s use the short division method to find:

$$ \frac{58}{3} $$

Understand the Terms

  • Dividend: 58 (the number being divided)
  • Divisor: 3 (the number you are dividing by)
  • Quotient: the whole number result
  • Remainder: the part left over (if any)

Step-by-Step Division of 58 ÷ 3

Step 1: Divide 3 into 5

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

Write 1 as the first digit of the quotient. Carry the remainder 2 to the next digit (8), forming 28.

Step 2: Divide 3 into 28

$$ 28 \div 3 = 9 \text{ remainder } 1 $$

Write 9 as the next digit of the quotient. The final remainder is 1.

Final Answer

The quotient is:

$$ \boxed{58 \div 3 = 19 \text{ r } 1} $$

Or as a mixed number:

$$ \boxed{19 \frac{1}{3}} $$

Check Your Answer

Multiply the quotient and divisor:

$$ 19 \times 3 = 57 $$

Then add the remainder:

$$ 57 + 1 = 58 $$

✅ The result equals the original dividend.

Summary

To divide 58 by 3:

  1. Divide 3 into the digits of 58, from left to right.
  2. Record the whole number parts in the quotient.
  3. If any number remains, write it as the remainder.

Thus,

$$ \frac{58}{3} = 19 \text{ r } 1 \quad \text{or} \quad 19 \frac{1}{3} $$