$ 3211 $ with a remainder of 5

$ 1222 $ with a remainder of 2

$ 1420 $ with a remainder of 1

Long Division Problem: Solving 5 ÷ 6394 Step by Step

Q: How do I know when to stop dividing?

Keep dividing until you've brought down all digits from the original number. In this problem, we used all four digits: 6, 3, 9, and 4. The final remainder (if any) stays as the remainder.

Q: What does 'remainder 4' actually mean?

The remainder 4 means there are 4 left over after dividing. Think of it like having 6394 items and grouping them by 5s - you'd have 1278 complete groups with 4 items left over.

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

Yes! Use the formula: dividend = quotient × divisor + remainder. Check: $ 1278 \times 5 + 4 = 6390 + 4 = 6394 $ ✓

Q: Why do we write the quotient digits above specific positions?

Each quotient digit goes directly above the last digit you're currently working with. This keeps your place values aligned correctly and prevents confusion.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 Let's start by dividing the leftmost digit in the dividend

00:09 Write the result without the remainder above

00:13 Now multiply the result by the divisor

00:16 Subtract the product from the number

00:21 Now bring down the next digit and use the same steps

00:25 Divide

00:28 Write the result without the remainder above, pay attention to placement

00:32 Multiply the result, and subtract

00:38 Now bring down the next digit and use the same steps

00:42 Divide

00:45 Write the result without the remainder above, pay attention to placement

00:51 Multiply the result, and subtract

00:58 Now bring down the next digit and use the same steps

01:03 Divide

01:07 Write the result without the remainder above, pay attention to placement

01:11 Multiply the result, and subtract

01:16 We got a remainder of 4

01:20 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 this problem, we'll perform a long division of 6394 by 5.

Step 1: Divide the first digit of 6394, which is 6, by 5. The largest whole number of times 5 can go into 6 is 1. Write 1 above the division bar.
Multiply 1 by 5, resulting in 5, and subtract this from 6 to get a remainder of 1. Bring down the next digit, 3, to make 13.
Step 2: Divide 13 by 5. The largest whole number of times 5 can go into 13 is 2. Write 2 above the division bar next to 1.
Multiply 2 by 5, resulting in 10, and subtract this from 13 to get a remainder of 3. Bring down the next digit, 9, to make 39.
Step 3: Divide 39 by 5. The largest whole number of times 5 can go into 39 is 7. Write 7 alongside the previous digits in the quotient.
Multiply 7 by 5, resulting in 35, and subtract this from 39 to get a remainder of 4. Bring down the last digit, 4, to make 44.
Step 4: Divide 44 by 5. The largest whole number of times 5 can go into 44 is 8. Write 8 in the quotient space.
Multiply 8 by 5, which equals 40, and subtract this from 44 to leave a final remainder of 4.

In summary, the quotient from dividing 6394 by 5 is 1278, with a remainder of 4.

Therefore, the solution to the problem is $1278$ with a remainder of 4.

3

Final Answer

$1278$ with a remainder of 4

Key Points to Remember

Essential concepts to master this topic

Process: Divide each digit group systematically from left to right
Technique: Bring down next digit after each step: 6÷5=1, remainder 1 becomes 13
Check: Multiply quotient by divisor and add remainder: 1278×5+4=6394 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to bring down the next digit
Don't leave a remainder hanging without bringing down the next digit = incomplete division! This stops your calculation mid-process and gives a partial answer. Always bring down the next digit to 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 if the first digit is smaller than the divisor?

+

When 6 is divided by 5, we get 1 with remainder 1. But if the first digit were smaller (like 3÷5), you'd need to combine it with the next digit to make a larger number before dividing.

How do I know when to stop dividing?

+

Keep dividing until you've brought down all digits from the original number. In this problem, we used all four digits: 6, 3, 9, and 4. The final remainder (if any) stays as the remainder.

What does 'remainder 4' actually mean?

+

The remainder 4 means there are 4 left over after dividing. Think of it like having 6394 items and grouping them by 5s - you'd have 1278 complete groups with 4 items left over.

Can I check my answer without doing the whole division again?

+

Yes! Use the formula: dividend = quotient × divisor + remainder. Check: $1278 \times 5 + 4 = 6390 + 4 = 6394$ ✓

Why do we write the quotient digits above specific positions?

+

Each quotient digit goes directly above the last digit you're currently working with. This keeps your place values aligned correctly and prevents confusion.

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Long Division Problem: Solving 5 ÷ 6394 Step by Step

Long Division with Multi-Digit Dividends

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