How do you divide 100 by 3?

Division answers how many times one number fits into another and if there’s anything remaining.

In division:

  • The dividend is the number being divided (here: 100).
  • The divisor is the number you are dividing by (here: 3).

So for the question What is 100 divided by 3?, 100 is the dividend and 3 is the divisor.

Short Division Method

Short division is used when:

  • The divisor is a small number (usually < 10)
  • The dividend is at least 10× the divisor

Since 3 is small and 100 is well over 30, this method is ideal.

Short Division Structure

Division can be represented as:

$$ ________ 3 | 100 $$

As the quotient is calculated, write it above each digit of the dividend. Any remainder can be appended as “rX”.

Step-by-Step Division of 100 ÷ 3

Step 1: Divide 3 into 1

  • $1 \div 3 = 0 $
  • Remainder: 1 → carry to next digit

Step 2: Divide 3 into 10

  • $10 \div 3 = 3$
  • Remainder: 1 → carry to next digit

Step 3: Divide 3 into 10 again

  • $10 \div 3 = 3$
  • Remainder: 1

Final Answer:

Quotient: 33
Remainder: 1

So:

$$ 100 \div 3 = 33 r1 $$

Check Your Answer

Multiply the quotient by the divisor, then add the remainder:

  • $begin:math:text$ 3 \times 33 = 99 $end:math:text$
  • $begin:math:text$ 99 + 1 = 100 $end:math:text$

✅ Matches the original dividend.

Summary

  • Dividend: 100
  • Divisor: 3
  • Quotient: 33
  • Remainder: 1

Final Answer:

$$ 100 \div 3 = 33 \text{ remainder } 1 $$

You can verify your result by checking:

$$ (3 \times 33) + 1 = 100 $$

Which confirms your calculation is correct.