Understanding Division
Division is the process of determining how many times one number fits into another. Every division problem consists of:
- Dividend – the number to be divided (here: 300)
- Divisor – the number you divide by (here: 4)
- Quotient – the result
- Remainder – what’s left over
Short Division Method
Short division is ideal when:
- The divisor is a small number (typically less than 10), and
- The dividend is large (typically 10× or more than the divisor)
In this case:
- Divisor: $4$
- Dividend: $300$
Let’s now perform the short division of $300 \div 4$ step-by-step.
Step-by-Step Division
We divide digit-by-digit from left to right:
Step 1: Divide 4 into 3
$$ 3 \div 4 = 0 \text{ (remainder 3)} $$
Write down $0$, carry the 3 over to form $30$.
Step 2: Divide 4 into 30
$$ 30 \div 4 = 7 \text{ (remainder 2)} $$
Write down $7$, carry the 2 over to form $20$.
Step 3: Divide 4 into 20
$$ 20 \div 4 = 5 \text{ (no remainder)} $$
Write down $5$.
Final Answer
Putting all the digits together:
$$ \boxed{300 \div 4 = 75} $$
Check the Answer
Multiply the quotient by the divisor:
$$ 75 \times 4 = 300 $$
✅ The result matches the original dividend.
Summary
To divide $300$ by $4$:
- Identify the dividend and divisor
- Use short division to compute the quotient
- Multiply quotient × divisor to verify
Result: $$ \boxed{300 \div 4 = 75} $$