Long Division Problem: Dividing 15003 by 3 Step-by-Step

Q: Why do I start with 15 instead of just 1?

Because 1 ÷ 3 = 0 remainder 1, which means 1 is too small to divide by 3. We need at least 3 to get a whole number result, so we use the first two digits: 15.

Q: What do I do when I bring down a 0?

Always write 0 in your quotient! When you divide 0 by any number, the answer is 0. Don't skip it or your final answer will be wrong.

Q: How do I know I'm done with the division?

You're finished when you've brought down all digits from the original number and have no remainder left. In this case, after using all digits of 15003.

Q: Can I check my answer without multiplying the big numbers?

Yes! You can use casting out nines or add the digits: $ 1+5+0+0+3 = 9 $ and $ 5+0+0+1 = 6 $. Since $ 6 \times 3 = 18 $ and $ 1+8 = 9 $, it checks out!

Q: What if I get a remainder at the end?

In this problem, $ 15003 ÷ 3 $ divides evenly with no remainder. But if you do get a remainder, write it as quotient R remainder or convert to a decimal.

Long Division with Large Multi-Digit Numbers

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's solve this problem together.

00:08 First, divide the leftmost digit in the dividend.

00:12 One is less than three. So, let's add the next digit, then divide.

00:17 Write the result above the line.

00:20 Now, multiply this result by the divisor.

00:25 Subtract that product from the current number.

00:29 Bring down the next digit, then repeat the process.

00:33 Let's divide again.

00:36 Write the new result above.

00:39 Multiply the outcome, subtract it again.

00:44 Bring down the next number, and let's continue.

00:48 Notice it's the same digit? Use the same calculation steps.

00:52 Bring down the next digit, and keep going.

00:57 Time to divide once more.

01:00 Write this new result at the top.

01:04 Multiply and subtract like before.

01:08 Now, we have a remainder of zero.

01:11 And that's how we find the solution. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Step-by-step solution

To solve the problem of dividing $15003$ by $3$ , we will use the long division method. Let's break it down step-by-step:

Step 1: Begin with the first digit of $15003$ , which is $1$ . Since $1$ divided by $3$ is $0$ , we can't use this, so we consider the first two digits, which are $15$ .
Step 2: Divide $15$ by $3$ . The result is $5$ because $5 \times 3 = 15$ . Subtract $15$ from $15$ to get $0$ .
Step 3: Bring down the next digit, which is $0$ . Now, we have $0$ to divide by $3$ , which results in $0$ . Write $0$ next to $5$ in the quotient.
Step 4: Bring down the next digit, which is again $0$ . Divide $0$ by $3$ to get $0$ . Write $0$ in the quotient, making it $500$ .
Step 5: Finally, bring down the last digit, which is $3$ . Divide $3$ by $3$ to get $1$ . Write $1$ in the quotient, making it $5001$ .

The division is complete as there are no more digits to bring down. Hence, the quotient of dividing $15003$ by $3$ is:

$5001$ .

Final Answer

$5001$

Key Points to Remember

Essential concepts to master this topic

Division Rule: Work digit by digit from left to right systematically
Technique: Divide 15 by 3 gives 5, then bring down each remaining digit
Check: Multiply quotient by divisor: $5001 \times 3 = 15003$ ✓

Common Mistakes

Avoid these frequent errors

Skipping zeros in the quotient when bringing down digits
Don't ignore zero digits when dividing each step = incomplete quotient like 51 instead of 5001! Missing zeros changes the place value completely. Always write 0 in the quotient when the dividend digit is smaller than the divisor.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I start with 15 instead of just 1?

Because 1 ÷ 3 = 0 remainder 1, which means 1 is too small to divide by 3. We need at least 3 to get a whole number result, so we use the first two digits: 15.

What do I do when I bring down a 0?

Always write 0 in your quotient! When you divide 0 by any number, the answer is 0. Don't skip it or your final answer will be wrong.

How do I know I'm done with the division?

You're finished when you've brought down all digits from the original number and have no remainder left. In this case, after using all digits of 15003.

Can I check my answer without multiplying the big numbers?

Yes! You can use casting out nines or add the digits: $1+5+0+0+3 = 9$ and $5+0+0+1 = 6$ . Since $6 \times 3 = 18$ and $1+8 = 9$ , it checks out!

What if I get a remainder at the end?

In this problem, $15003 ÷ 3$ divides evenly with no remainder. But if you do get a remainder, write it as quotient R remainder or convert to a decimal.

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