Solve Division Problem: 48 ÷ 4 Using Long Division Method

Long Division with Single-Digit Divisors

448

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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 by the divisor
00:07 Write the result above
00:11 Now multiply the result by the divisor
00:16 Subtract the product from the digit
00:21 Now bring down the next digit and repeat the same steps
00:25 Divide
00:29 Write the result above
00:33 Multiply the result and subtract
00:40 We got 0, which means there is no remainder
00:43 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

448

2

Step-by-step solution

To solve this division problem, we will divide the number 48 by 4 and find the quotient.

The expression for this calculation is:

484 \frac{48}{4}

Let's perform the division:

  • We start with the number 48.
  • We divide 48 by 4. The question we are asking is: "How many times does 4 go into 48?"
  • By calculating, we find that 4 fits into 48 exactly 12 times.

The steps can be broken down as follows:

  • 4 goes into the first digit of 48 (4), 1 time.
  • The remainder from this division is 0, bring down the next digit, which is 8.
  • 4 goes into 8, 2 times (as 4 × 2 = 8).
  • There is no remainder, confirming the division is complete.

Thus, the quotient of 48 divided by 4 is:

12 12

Therefore, the correct answer is 12, which corresponds to choice 4.

3

Final Answer

12 12

Key Points to Remember

Essential concepts to master this topic
  • Division Setup: Place dividend inside the division box, divisor outside left
  • Step-by-Step: 4 goes into 4 once, then into 8 twice
  • Verification: Multiply quotient by divisor: 12 × 4 = 48 ✓

Common Mistakes

Avoid these frequent errors
  • Confusing dividend and divisor placement
    Don't put 48 outside and 4 inside the division box = backwards setup! This reverses the entire problem and gives 0.083 instead of 12. Always place the number being divided (48) inside the box and the divisor (4) outside on the left.

Practice Quiz

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216

FAQ

Everything you need to know about this question

Which number goes where in the division box?

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The dividend (48) goes inside the division box, and the divisor (4) goes outside on the left. Think: How many 4s fit into 48?

What if the first digit is smaller than the divisor?

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Look at more digits! If 4 won't go into the first digit, consider the first two digits together. For example, if dividing 248 ÷ 4, start with 24.

How do I know when I'm done dividing?

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You're done when there are no more digits to bring down and no remainder left. The number at the top is your complete quotient!

What does 'bring down the next digit' mean?

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After dividing the first part, write the next digit from the dividend right next to any remainder. This creates a new number to divide by your divisor.

How can I check if my division is correct?

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Multiply your answer by the divisor: 12×4=48 12 \times 4 = 48 . If you get the original dividend, you're right!

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