What Is Division?

Division answers the question: How many times does one number fit into another?

In any division problem, we work with:

  • Dividend — the number being divided
  • Divisor — the number you divide by
  • Quotient — the result of the division
  • Remainder — what’s left over (if any)

Example: What Is $1000 \div 5$?

In this case:

  • Dividend = $1000$
  • Divisor = $5$

We’ll use the short division method to solve this.

Step-by-Step Using Short Division

We divide $5$ into $1000$ digit by digit.

Step 1: Divide 5 into 1

$$ 1 \div 5 = 0 \quad \text{with a remainder of } 1 $$

Write $0$ above and carry $1$ over to the next digit.

Step 2: Divide 5 into 10

$$ 10 \div 5 = 2 $$

Write $2$ above.

Step 3: Divide 5 into 0

$$ 0 \div 5 = 0 $$

Write $0$ above.

Step 4: Divide 5 into 0 again

$$ 0 \div 5 = 0 $$

Write $0$ above.

Final Answer

Putting all the digits together, we get: $$ \boxed{1000 \div 5 = 200} $$

Check the Answer

Multiply the quotient by the divisor: $$ 200 \times 5 = 1000 $$

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

Summary

  • Divisor: $5$
  • Dividend: $1000$
  • Quotient: $200$
  • Remainder: $0$

Therefore, $$ \boxed{1000 \div 5 = 200} $$

You can always check a division result using: $$ \text{Quotient} \times \text{Divisor} + \text{Remainder} = \text{Dividend} $$