Long Division Problem: Divide 2436 by 5 Step-by-Step

Long Division with Multi-Digit Numbers

52436

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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 in the dividend
00:06 2 is less than 5, so we'll bring down the next digit, and then divide
00:11 Write the result without the remainder above, paying attention to position
00:18 Now multiply the result by the divisor
00:24 Subtract the product from the number
00:29 Now bring down the next digit and follow the same steps
00:33 Divide
00:37 Write the result without the remainder above, paying attention to position
00:40 Multiply the result and subtract
00:48 Now bring down the next digit and follow the same steps
00:52 Divide
00:55 Write the result without the remainder above, paying attention to position
00:59 Multiply the result and subtract
01:04 We got a remainder of 1
01:09 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

52436

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Set up the long division.
  • Step 2: Divide the first digit(s) of the dividend by the divisor and determine the partial quotient.
  • Step 3: Subtract, bring down the next digit, and repeat until complete.
  • Step 4: Identify the final quotient and remainder.

Let's go through the steps in detail:

Step 1: The dividend is 24362436 and the divisor is 55. Our task is to perform long division.

Step 2: Start from the leftmost digit of the dividend:

  • Divide 2424 by 55 (since 2424 is the first two digits that 55 can divide).
  • The quotient is 44 (because 5×4=205 \times 4 = 20).
  • Subtract 2020 from 2424 to get a remainder of 44.

Step 3: Bring down the next digit, 33, making the new number 4343.

  • Divide 4343 by 55.
  • The quotient is 88 (because 5×8=405 \times 8 = 40).
  • Subtract 4040 from 4343 to get a remainder of 33.

Step 4: Bring down the next digit, 66, making the new number 3636.

  • Divide 3636 by 55.
  • The quotient is 77 (because 5×7=355 \times 7 = 35).
  • Subtract 3535 from 3636 to get a remainder of 11.

The long division is complete. We are left with:

  • Quotient: 487487
  • Remainder: 11

Thus, the division shows that 2436÷5=4872436 \div 5 = 487 with a remainder of 11.

Therefore, the solution to the problem is 487 487 with a remainder of 11.

3

Final Answer

487 487 with a remainder of 1

Key Points to Remember

Essential concepts to master this topic
  • Setup: Divide each digit group starting from left to right
  • Technique: 24 ÷ 5 = 4 remainder 4, then bring down next digit
  • Check: Multiply quotient by divisor and add remainder: 487 × 5 + 1 = 2436 ✓

Common Mistakes

Avoid these frequent errors
  • Starting division with single digits when they're too small
    Don't try to divide 2 by 5 at the start = impossible division! The first digit alone is smaller than the divisor, so you get stuck. Always group digits from left until you have a number larger than the divisor.

Practice Quiz

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216

FAQ

Everything you need to know about this question

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

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Look at the first two digits together! Since 2 < 5, we use 24 instead. This gives us 24 ÷ 5 = 4 remainder 4 to start our division.

How do I know where to write each quotient digit?

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Write each quotient digit directly above the last digit you used from the dividend. For 24 ÷ 5 = 4, write the 4 above the second digit (the 4 in 24).

What if I get a remainder that's bigger than the divisor?

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That means you made an error! The remainder must always be smaller than the divisor. If your remainder is 5 or bigger when dividing by 5, you need a larger quotient digit.

Why do we bring down digits one at a time?

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Bringing down one digit at a time keeps the numbers manageable and follows the systematic process of long division. It ensures we don't skip steps or make calculation errors.

How can I check if my long division is correct?

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Use the division check formula: Dividend = Divisor × Quotient + Remainder. For our problem: 2436=5×487+1=2435+1=2436 2436 = 5 \times 487 + 1 = 2435 + 1 = 2436

What does the remainder really mean?

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The remainder is what's left over after division. In 2436÷5=487 2436 \div 5 = 487 remainder 1, it means 2436 has 487 complete groups of 5, plus 1 extra.

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