Solve Division Problem: 50 ÷ 5 Using Long Division Method

Q: Which number goes where in long division?

The dividend (50) goes inside the division bracket, and the divisor (5) goes outside on the left. Think: 'How many 5's fit into 50?'

Q: How do I know if 10 is the right answer?

Multiply your answer by the divisor: $ 10 \times 5 = 50 $. If you get back to the original dividend, you're correct!

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

Some divisions have remainders. For example, 51 ÷ 5 = 10 remainder 1, because $ 10 \times 5 = 50 $ and there's 1 left over.

Q: Is there an easier way than long division?

For simple problems like this, you can use mental math: think of multiplication facts backwards. Since $ 5 \times 10 = 50 $, then $ 50 \div 5 = 10 $!

Q: Why use long division for such an easy problem?

Long division helps you organize your thinking and prepares you for harder problems with bigger numbers. It's like practicing scales before playing a song!

Basic Division with Long Division Format

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:05 First divide the tens

00:12 Multiply the result by the divisor, and subtract

00:23 No remainder, move to ones

00:36 Divide the ones by the divisor

00:42 Multiply the result by the divisor, and subtract

00:53 And this is the solution to the question

Step-by-step written solution

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Understand the problem

Step-by-step solution

To solve this division problem, we will proceed as follows:

Identify the dividend, which is 50, and the divisor, which is 5.
Use the division formula: $\frac{\text{dividend}}{\text{divisor}} = \text{quotient}$ .
Calculate the quotient by dividing 50 by 5.

Let's carry out the calculation step:

The division is $\frac{50}{5} = 10$ .

Therefore, the quotient of 50 divided by 5 is $10$ .

The correct choice from the given options is: Choice 2: $10$ .

Final Answer

$10$

Key Points to Remember

Essential concepts to master this topic

Setup: Dividend (50) goes inside, divisor (5) goes outside
Process: How many 5's fit into 50? Answer is 10
Check: Multiply quotient by divisor: $10 \times 5 = 50$ ✓

Common Mistakes

Avoid these frequent errors

Confusing dividend and divisor positions
Don't put 5 inside and 50 outside = backwards setup! This makes you ask 'how many 50's fit in 5' which gives the wrong answer. Always put the larger number (dividend) inside the division bracket.

Practice Quiz

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FAQ

Everything you need to know about this question

Which number goes where in long division?

The dividend (50) goes inside the division bracket, and the divisor (5) goes outside on the left. Think: 'How many 5's fit into 50?'

How do I know if 10 is the right answer?

Multiply your answer by the divisor: $10 \times 5 = 50$ . If you get back to the original dividend, you're correct!

What if the division doesn't work out evenly?

Some divisions have remainders. For example, 51 ÷ 5 = 10 remainder 1, because $10 \times 5 = 50$ and there's 1 left over.

Is there an easier way than long division?

For simple problems like this, you can use mental math: think of multiplication facts backwards. Since $5 \times 10 = 50$ , then $50 \div 5 = 10$ !

Why use long division for such an easy problem?

Long division helps you organize your thinking and prepares you for harder problems with bigger numbers. It's like practicing scales before playing a song!

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