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

Question

52436

Video Solution

Solution Steps

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 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.

Answer

487 487 with a remainder of 1