Long Division Problem: Dividing 65 by 5 Step-by-Step

Q: How do I remember which number goes where in long division?

Remember: the dividend (number being divided) goes inside the division bracket, like it's being "divided up". The divisor (what you're dividing by) goes outside, like it's doing the dividing!

Q: What if the division doesn't come out evenly?

That's when you get a remainder! For example, 67 ÷ 5 = 13 remainder 2, because 5 goes into 67 thirteen times with 2 left over.

Q: Is there a quick way to check if my answer is right?

Yes! Multiply your quotient by the divisor. If you get the original dividend, you're correct. For this problem: 13 × 5 = 65 ✓

Q: Why do we use long division instead of just memorizing multiplication tables?

Long division helps you understand how division works! Plus, it's essential for larger numbers where you can't just memorize everything. It builds your number sense!

Q: What does the line on top of the division bracket represent?

That line is where you write your quotient (answer). Each digit you write there represents how many times the divisor goes into that part of the dividend.

Long Division with Single-Digit Divisors

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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 by the divisor

00:09 Write the result above

00:14 Now multiply the result by the divisor

00:21 Subtract the product from the digit

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

00:27 Divide

00:31 Write the result above

00:34 Multiply the result, subtract

00:41 We got 0, meaning there's no remainder

00:44 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 of dividing 65 by 5, follow these steps:

Step 1: Identify the dividend, which is 65, and the divisor, which is 5.
Step 2: Perform the division operation $65 \div 5$ .
Step 3: Calculate the quotient by determining how many times 5 goes into 65 evenly.

Now, let's execute the division:
Step 1: We recognize that 65 is the number to be divided, and 5 is the divisor.
Step 2: Apply division: $65 \div 5 = 13$ .
Since 65 divided by 5 yields a quotient of 13 without any remainder, we have found our solution.

Thus, the answer to the division problem is $13$ .

Final Answer

$13$

Key Points to Remember

Essential concepts to master this topic

Division Setup: Place divisor outside and dividend inside the division bracket
Technique: Ask "How many times does 5 go into 65?" = 13
Check: Multiply quotient by divisor: 13 × 5 = 65 ✓

Common Mistakes

Avoid these frequent errors

Confusing dividend and divisor positions
Don't put 65 outside the bracket and 5 inside = backwards setup! This makes you try to divide 5 by 65, giving a decimal answer instead of a whole number. Always place the number being divided (dividend) inside the bracket and the divisor outside.

Practice Quiz

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FAQ

Everything you need to know about this question

How do I remember which number goes where in long division?

Remember: the dividend (number being divided) goes inside the division bracket, like it's being "divided up". The divisor (what you're dividing by) goes outside, like it's doing the dividing!

What if the division doesn't come out evenly?

That's when you get a remainder! For example, 67 ÷ 5 = 13 remainder 2, because 5 goes into 67 thirteen times with 2 left over.

Is there a quick way to check if my answer is right?

Yes! Multiply your quotient by the divisor. If you get the original dividend, you're correct. For this problem: 13 × 5 = 65 ✓

Why do we use long division instead of just memorizing multiplication tables?

Long division helps you understand how division works! Plus, it's essential for larger numbers where you can't just memorize everything. It builds your number sense!

What does the line on top of the division bracket represent?

That line is where you write your quotient (answer). Each digit you write there represents how many times the divisor goes into that part of the dividend.

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