$ 725 $ with a remainder of 5

$ 1325 $ with a remainder of 8

$ 621 $ with a remainder of 2

Long Division Problem: Divide 7208 by 6 Step-by-Step

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

If a single digit is smaller than 6 (like 2 or 0), you can't divide it alone. Bring down the next digit to make a larger number, then divide. For example: 2 becomes 20, then 20 ÷ 6.

Q: Why is there a zero in my quotient 1201?

The zero appears because 0 ÷ 6 = 0. Never skip zeros in your quotient - they show the correct place value. Without it, you'd get 121 instead of 1201!

Q: How do I know when to stop dividing?

Stop when you've processed all digits in the dividend (7208). The final remainder should be smaller than your divisor (less than 6).

Q: What if my remainder equals the divisor?

If your remainder equals 6, you can divide one more time! A remainder must always be smaller than the divisor. So remainder 6 means you missed a division step.

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

Use this formula: Dividend = (Quotient × Divisor) + Remainder7208 = (1201 × 6) + 27208 = 7206 + 27208 = 7208 ✓

Q: Can I use a calculator to check my work?

Absolutely! Calculate 7208 ÷ 6 = 1201.33... The whole number part (1201) is your quotient. The decimal part shows remainder: 0.33... × 6 ≈ 2.

Long Division with Multi-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 dividend

00:08 Write the result without the remainder above

00:11 Now multiply the result by the divisor

00:14 Subtract the product from the number

00:19 Now bring down the next digit and use the same steps

00:22 Divide

00:25 Write the result without the remainder above, pay attention to placement

00:28 Multiply the result and subtract

00:35 Now bring down the next digit and use the same steps

00:39 Divide

00:42 Write the result without the remainder above, pay attention to placement

00:46 Multiply the result and subtract

00:52 Now bring down the next digit and use the same steps

00:56 Divide

01:00 Write the result without the remainder above, pay attention to placement

01:03 Multiply the result and subtract

01:07 We got a remainder of 2

01:11 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

First, let's perform the division of 7208 by 6 step-by-step using long division.

Divide the first digit of the dividend 7 by 6. The quotient is 1.
Multiply 1 by 6 to get 6, and subtract this from 7 to get a remainder of 1.
Bring down the next digit of the dividend, 2, to make it 12.
Divide 12 by 6. The quotient is 2.
Multiply 2 by 6 to get 12, and subtract from 12 to get a remainder of 0.
Bring down the next digit, 0, to make it 0.
Divide 0 by 6. The quotient is 0. Multiply 0 by 6 to get 0.
Bring down the next digit, 8, making it 8.
Divide 8 by 6. The quotient is 1.
Multiply 1 by 6 to get 6, and subtract from 8 to get a remainder of 2.

After performing long division, the quotient of 7208 divided by 6 is $1201$ with a remainder of 2.

Therefore, the answer is $1201$ with a remainder of 2.

Final Answer

$1201$ with a remainder of 2

Key Points to Remember

Essential concepts to master this topic

Process: Divide each digit systematically from left to right
Technique: Bring down next digit when remainder exists: 1→12→0→8
Check: Multiply quotient by divisor and add remainder: $1201 \times 6 + 2 = 7208$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to bring down digits or skipping zeros
Don't skip the zero in 7208 or forget to bring down the 8 = incomplete division! This leads to wrong quotients like 121 instead of 1201. Always process every single digit in order, including zeros in the middle.

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?

If a single digit is smaller than 6 (like 2 or 0), you can't divide it alone. Bring down the next digit to make a larger number, then divide. For example: 2 becomes 20, then 20 ÷ 6.

Why is there a zero in my quotient 1201?

The zero appears because 0 ÷ 6 = 0. Never skip zeros in your quotient - they show the correct place value. Without it, you'd get 121 instead of 1201!

How do I know when to stop dividing?

Stop when you've processed all digits in the dividend (7208). The final remainder should be smaller than your divisor (less than 6).

What if my remainder equals the divisor?

If your remainder equals 6, you can divide one more time! A remainder must always be smaller than the divisor. So remainder 6 means you missed a division step.

How can I check if my long division is correct?

Use this formula: Dividend = (Quotient × Divisor) + Remainder

7208 = (1201 × 6) + 2
7208 = 7206 + 2
7208 = 7208 ✓

Can I use a calculator to check my work?

Absolutely! Calculate 7208 ÷ 6 = 1201.33... The whole number part (1201) is your quotient. The decimal part shows remainder: 0.33... × 6 ≈ 2.

🌟 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