$ 922 $ with a remainder of 3

$ 921 $ with a remainder of 3

$ 902 $ with a remainder of 5

Long Division Problem: Dividing 5409 by 6 Step-by-Step

Q: Why do I need to write 0 in the middle of my answer?

When you bring down a digit and get a number smaller than the divisor (like 0 ÷ 6), you must write 0 in that position. Otherwise, your quotient will be in the wrong place value!

Q: How do I know when to stop dividing?

Stop when you've brought down all digits from the dividend. The final remainder (if any) should be smaller than your divisor.

Q: How can I check if my long division is correct?

Use this formula: Quotient × Divisor + Remainder = Original NumberFor this problem: $ 901 \times 6 + 3 = 5406 + 3 = 5409 $ ✓

Q: What does 'remainder 3' actually mean?

The remainder is what's left over after dividing. It means 5409 ÷ 6 = 901 with 3 extra that can't be divided evenly by 6.

Long Division with Four-Digit Numbers

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

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 in the divisor

00:09 5 is less than 6, so we'll add the next digit, and then divide

00:12 Write the result without the remainder above, pay attention to the position

00:15 Now multiply the result by the divisor

00:18 Subtract the product from the number

00:24 Now bring down the next digit and use the same steps

00:27 Divide

00:30 Write the result without the remainder above, pay attention to the position

00:35 Multiply the result and subtract

00:39 Now bring down the next digit and use the same steps

00:42 Divide

00:47 Write the result without the remainder above, pay attention to the position

00:51 Multiply the result and subtract

00:57 We got a remainder of 3

01:04 And this is the solution to the problem

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, we will use long division to divide 5409 by 6:

Step 1: Identify the first digit of the dividend (5), which is less than 6. Combine it with the next digit (4) to make 54.
Step 2: Divide 54 by 6, which goes 9 times. Write 9 as the first digit of the quotient.
Step 3: Subtract $9 \times 6 = 54$ from 54, leading to a remainder of 0. Bring down the next digit (0).
Step 4: Divide the resulting 0 by 6. It goes 0 times, so write 0 in the quotient.
Step 5: Bring down the last digit (9).
Step 6: Divide 9 by 6, which goes 1 time. Write 1 as the next digit of the quotient.
Step 7: Subtract $1 \times 6 = 6$ from 9, resulting in a remainder of 3.

The quotient is 901, and the remainder is 3.

Therefore, the solution to the problem is $901$ with a remainder of 3.

Final Answer

$901$ with a remainder of 3

Key Points to Remember

Essential concepts to master this topic

Setup: Start with leftmost digits that make a number ≥ divisor
Technique: Divide 54 by 6 = 9, then bring down next digit
Check: Multiply quotient by divisor plus remainder: 901 × 6 + 3 = 5409 ✓

Common Mistakes

Avoid these frequent errors

Skipping zeros in the quotient
Don't ignore the middle zero when dividing 0 by 6 = wrong quotient like 91! This gives an incomplete answer. Always write 0 in the quotient when the dividend is smaller than the divisor.

Practice Quiz

Test your knowledge with interactive questions

FAQ

Everything you need to know about this question

Why do I need to write 0 in the middle of my answer?

When you bring down a digit and get a number smaller than the divisor (like 0 ÷ 6), you must write 0 in that position. Otherwise, your quotient will be in the wrong place value!

How do I know when to stop dividing?

Stop when you've brought down all digits from the dividend. The final remainder (if any) should be smaller than your divisor.

What if I can't divide the first digit?

That's normal! When the first digit is smaller than the divisor (like 5 < 6), combine it with the next digit to make a larger number (54).

How can I check if my long division is correct?

Use this formula: Quotient × Divisor + Remainder = Original Number

For this problem: $901 \times 6 + 3 = 5406 + 3 = 5409$ ✓

What does 'remainder 3' actually mean?

The remainder is what's left over after dividing. It means 5409 ÷ 6 = 901 with 3 extra that can't be divided evenly by 6.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Arithmetic Operations questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime