What Is 125 Divided By 5?
To solve $125 \div 5$, we’ll use the short division method — a reliable and quick technique when working with a small divisor and a larger dividend.
Understanding the Terms
- Dividend: The number being divided (here, 125)
- Divisor: The number you’re dividing by (here, 5)
- Quotient: The answer to the division
- Remainder: What’s left over, if anything
Step-by-Step: $125 \div 5$
Step 1: Divide 5 into 1
$$ 1 \div 5 = 0 \text{ with remainder } 1 $$
Write $0$ and carry the $1$ to the next digit, forming $12$.
Step 2: Divide 5 into 12
$$ 12 \div 5 = 2 \text{ with remainder } 2 $$
Write $2$ and carry the $2$ to form $25$.
Step 3: Divide 5 into 25
$$ 25 \div 5 = 5 \text{ exactly} $$
Write $5$.
Final Answer
Putting all the digits together:
$$ \boxed{125 \div 5 = 25} $$
Check Your Work
To verify:
$$ 5 \times 25 = 125 $$
✅ The product matches the dividend, so the answer is correct.
Summary
To divide $125$ by $5$ using short division:
- Work from left to right, digit by digit.
- Carry remainders to the next place value.
- Record the final quotient as your answer.
So:
$$ \boxed{125 \div 5 = 25} $$