Long Division: Solve 1250 ÷ 5

Q: What if the first digit is smaller than the divisor?

That's normal! When 1 is smaller than 5, you combine it with the next digit. So instead of dividing 1 by 5, you divide 12 by 5.

Q: Why do I bring down one digit at a time?

Bringing down digits one at a time helps you work systematically through the problem. It prevents errors and keeps your work organized and easy to follow.

Q: What does it mean when I get a remainder of 0?

A remainder of 0 means the division is exact - no leftover! This tells you that 5 divides evenly into 1250 with no remainder.

Q: How do I know where to place each digit in my answer?

Each quotient digit goes directly above the last digit of the group you just divided. This keeps place values aligned correctly.

Q: Can I check my answer without doing the division again?

Yes! Simply multiply your answer by the divisor. If you get the original dividend (1250), your division is correct.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Let's start by dividing the leftmost digit by the divisor

00:09 5 is greater than 1, so we'll add the next digit and then divide

00:20 Write the result without remainder above, pay attention to the position

00:24 Now multiply the result by the divisor

00:28 Subtract the product from the number

00:36 Now bring down the next digit below and use the same steps

00:41 Divide

00:46 Write the result above

00:50 Multiply the result, subtract

01:00 Now bring down the next digit below and use the same steps

01:04 Divide

01:08 Write the result above

01:11 Multiply the result, subtract

01:18 We got a remainder of 0

01:21 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

2

Step-by-step solution

To solve the division problem $1250 \div 5$ , we will use long division.

Step 1: Identify the first part of the dividend (1250) that is divisible by 5. We start with the first digit, which is 1. Since 1 is less than 5, we consider the first two digits, 12.
Step 2: Determine how many times 5 fits into 12. It fits 2 times since $5 \times 2 = 10$ . Write 2 above the long division bar.
Step 3: Subtract 10 from 12, leaving a remainder of 2. Bring down the next digit, 5, making it 25.
Step 4: Determine how many times 5 goes into 25. It fits exactly 5 times since $5 \times 5 = 25$ . Write 5 above the bar, next to 2.
Step 5: Subtract 25 from 25, leaving a remainder of 0. Bring down the last digit, 0, making it 00.
Step 6: Since 5 goes into 0 exactly 0 times, write 0 above the division bar as the last digit of the quotient.

After completing the division, the result above the division bar shows the quotient: $250$ .

Therefore, the solution to the problem is $250$ .

3

Final Answer

$250$

Key Points to Remember

Essential concepts to master this topic

Rule: Start with leftmost digits that form a number divisible by the divisor
Technique: When 5 goes into 12 twice, write 2 above and subtract 10
Check: Multiply quotient by divisor: 250 × 5 = 1250 ✓

Common Mistakes

Avoid these frequent errors

Placing digits in wrong positions above the division bar
Don't write quotient digits randomly above the line = misaligned place values and wrong answer! Each digit must be placed directly above the corresponding digit you're dividing. Always align each quotient digit above the last digit of the group you're working with.

Practice Quiz

Test your knowledge with interactive questions

FAQ

Everything you need to know about this question

What if the first digit is smaller than the divisor?

+

That's normal! When 1 is smaller than 5, you combine it with the next digit. So instead of dividing 1 by 5, you divide 12 by 5.

Why do I bring down one digit at a time?

+

Bringing down digits one at a time helps you work systematically through the problem. It prevents errors and keeps your work organized and easy to follow.

What does it mean when I get a remainder of 0?

+

A remainder of 0 means the division is exact - no leftover! This tells you that 5 divides evenly into 1250 with no remainder.

How do I know where to place each digit in my answer?

+

Each quotient digit goes directly above the last digit of the group you just divided. This keeps place values aligned correctly.

Can I check my answer without doing the division again?

+

Yes! Simply multiply your answer by the divisor. If you get the original dividend (1250), your division is correct.

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Long Division: Solve 1250 ÷ 5

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