Long Division: Solve 184 ÷ 8

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

Look at the first two digits together! Since 8 won't go into 1, we use 18 (the first two digits of 184). This is completely normal in long division.

Q: How do I know how many times 8 goes into 18?

Think of your multiplication tables! $ 8 \times 2 = 16 $ and $ 8 \times 3 = 24 $. Since 16 ≤ 18

Q: What does 'bring down' mean in long division?

After subtracting, you bring down the next digit from the dividend to continue dividing. In our example, after getting remainder 2, we bring down the 4 to make 24.

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

Use multiplication to verify! Multiply your quotient by the divisor. If you get the original dividend back, your answer is correct: $ 23 \times 8 = 184 $ ✓

Q: What if I have a remainder at the end?

Write it as 'R' followed by the remainder number. For example, if 185 ÷ 8, the answer would be 23 R1 because $ 23 \times 8 + 1 = 185 $.

Long Division with Three-Digit Numbers

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Step-by-step video solution

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00:00 Solve

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

00:07 8 is greater than 1, so we'll add the next digit and then divide

00:13 Write the result without remainder above, pay attention to position

00:17 Now multiply the result by the divisor

00:23 Subtract the product from the number

00:26 Now bring down the next digit below and use the same steps

00:30 Divide

00:38 Write the result above

00:41 Multiply the result, subtract

00:45 We got a remainder of 0

00:50 And this is the solution to the problem

Step-by-step written solution

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Understand the problem

Step-by-step solution

To determine the result of dividing 184 by 8, we use long division:

1. **Set up the division**: Write 184 under the division bracket with 8 outside.
2. **Analyze the first digit**: 8 goes into 18, the first two digits of 184, a total of 2 times since $8 \times 2 = 16$ .
3. **Subtract 16 from 18**: We get a remainder of 2. Bring down the next digit 4, giving us 24.
4. **Divide again**: 8 goes into 24 exactly 3 times because $8 \times 3 = 24$ .
5. **Subtract**: Subtracting gives zero remainder.

Thus, the quotient is 23, confirming that $184 \div 8 = 23$ without any remainder. The operation has been checked accurately by multiplying 23 by 8, which yields 184.

Therefore, the solution to the division problem is $23$ . This matches the correct choice provided in the list of options.

Final Answer

$23$

Key Points to Remember

Essential concepts to master this topic

Setup: Place divisor outside bracket, dividend inside the bracket
Technique: Group digits from left: 8 goes into 18 twice
Check: Multiply quotient by divisor: $23 \times 8 = 184$ ✓

Common Mistakes

Avoid these frequent errors

Trying to divide single digits when they're too small
Don't divide 8 into just the first digit 1 = can't divide! This creates confusion and wrong partial quotients. Always group enough digits from left to make division possible, like using 18 instead of just 1.

Practice Quiz

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FAQ

Everything you need to know about this question

What do I do when the first digit is smaller than the divisor?

Look at the first two digits together! Since 8 won't go into 1, we use 18 (the first two digits of 184). This is completely normal in long division.

How do I know how many times 8 goes into 18?

Think of your multiplication tables! $8 \times 2 = 16$ and $8 \times 3 = 24$ . Since 16 ≤ 18 < 24, the answer is 2 times.

What does 'bring down' mean in long division?

After subtracting, you bring down the next digit from the dividend to continue dividing. In our example, after getting remainder 2, we bring down the 4 to make 24.

How can I check if my long division is correct?

Use multiplication to verify! Multiply your quotient by the divisor. If you get the original dividend back, your answer is correct: $23 \times 8 = 184$ ✓

What if I have a remainder at the end?

Write it as 'R' followed by the remainder number. For example, if 185 ÷ 8, the answer would be 23 R1 because $23 \times 8 + 1 = 185$ .

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