Long Division Practice: Solving 603 ÷ 3 Step by Step

Q: Why do I need to multiply and subtract each time?

Multiplying and subtracting helps you find the remainder before bringing down the next digit. This ensures accuracy and follows the proper long division process.

Q: How do I know if I divided correctly?

After getting your quotient, multiply it by the original divisor. If you get back to your original number (like $ 201 \times 3 = 603 $), you're correct!

Q: Can I check my work another way?

Yes! You can also use estimation: 600÷3=200, so your answer of 201 makes sense. Always use multiple methods to verify!

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's solve this problem together, step by step.

00:07 First, divide the leftmost digit in the dividend by the divisor.

00:12 Write the result above the line.

00:15 Next, multiply that result by the divisor.

00:20 Subtract this product from the current digit.

00:24 Bring down the next digit and repeat the steps.

00:27 So, divide again.

00:30 Write the new result above.

00:33 Multiply that, and then subtract.

00:37 Bring down the next digit, and repeat.

00:40 Continue dividing.

00:43 Write the answer above.

00:46 Multiply, and then subtract once more.

00:50 Now, we have a remainder of zero.

00:55 And there you have it! That's 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 this problem, we will perform long division of 603 by 3. Below are the steps explained in detail:

Step 1: Start with the leftmost digit of the dividend (603). This is 6. Divide 6 by 3 to get 2. So, we place 2 above the line, indicating the first digit of the quotient.
Step 2: Multiply 2 (the quotient digit we've obtained) by 3 (the divisor) to get 6. Subtract this 6 from the first digit of 603, which gives us 0.
Step 3: Bring down the next digit of the dividend, which is 0. The result is now considered as 0.
Step 4: Divide this 0 by 3, which gives 0 for the next digit in the quotient. Place this 0 alongside the 2 above the line.
Step 5: Bring down the final digit of the dividend, which is 3.
Step 6: Divide the 3 by 3 to get 1. Place 1 in the quotient line, forming the last digit.
Step 7: Multiply 1 by 3 to get 3, subtract this 3 from the digit brought down (which is also 3), resulting in 0.

Thus, combining all digits in the quotient gives us 201.

Therefore, the solution to this problem is $201$ .

3

Final Answer

$201$

Key Points to Remember

Essential concepts to master this topic

Rule: Divide each digit from left to right systematically
Technique: When 6÷3=2, multiply back: 2×3=6 to subtract
Check: Multiply quotient by divisor: 201×3=603 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to bring down the next digit
Don't divide 6 by 3 and stop there = incomplete answer! This gives you only 2 instead of the full quotient. Always bring down each remaining digit one at a time and continue dividing until you've used all digits.

Practice Quiz

Test your knowledge with interactive questions

FAQ

Everything you need to know about this question

What do I do when a digit is smaller than the divisor?

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If a digit can't be divided by the divisor (like 0÷3), just write 0 in the quotient and bring down the next digit. Don't skip steps!

Why do I need to multiply and subtract each time?

+

Multiplying and subtracting helps you find the remainder before bringing down the next digit. This ensures accuracy and follows the proper long division process.

How do I know if I divided correctly?

+

After getting your quotient, multiply it by the original divisor. If you get back to your original number (like $201 \times 3 = 603$ ), you're correct!

What if there's a remainder at the end?

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In this problem, we get exactly 0 remainder, so 603 divides evenly by 3. If there were a remainder, you'd write it as "R" followed by the remainder number.

Can I check my work another way?

+

Yes! You can also use estimation: 600÷3=200, so your answer of 201 makes sense. Always use multiple methods to verify!

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Long Division Practice: Solving 603 ÷ 3 Step by Step

Long Division with Three-Digit Numbers

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