Long Division Problem: Dividing 34202 by 23 Step-by-Step

2334202

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's solve this problem together.
00:09 Step one: Check if the first digit is smaller than the divisor.
00:14 Since three is less than twenty-three, bring down the next digit.
00:19 Now divide and write the result on top.
00:23 Multiply the result by the divisor to find the product.
00:27 Subtract the product from the number you have.
00:32 Next, bring down the next digit.
00:35 Let's divide again.
00:40 Write the result above carefully, checking its place.
00:49 Then multiply and subtract, just like before.
00:59 Bring down the next digit.
01:02 Time to divide once more.
01:13 Remember to write the result at the top, in the right spot.
01:20 Multiply this result and subtract it.
01:31 Bring down another digit and repeat the steps.
01:36 Now divide again.
01:43 Write the last part of the answer on top.
01:48 Multiply your result and subtract one last time.
02:00 What's left is a remainder of one.
02:04 And that's how we find our solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

2334202

2

Step-by-step solution

To solve this problem, we will conduct the long division of 34202 by 23.

  • Step 1: Set up the long division, writing 34202 under the division bar and 23 outside.
  • Step 2: Start with the leftmost digits. Since 23 does not go into 3, consider the next digit, making it 34.
  • Step 3: Divide 34 by 23 to get 1. Place the 1 above the division bar.
  • Step 4: Multiply 1 by 23 to get 23, and subtract from 34 to get a remainder of 11.
  • Step 5: Bring down the next digit, making it 110.
  • Step 6: Divide 110 by 23 to get 4. Place the 4 above the division bar.
  • Step 7: Multiply 4 by 23 to get 92, and subtract from 110 to get a remainder of 18.
  • Step 8: Bring down the next digit, making it 182.
  • Step 9: Divide 182 by 23 to get 7. Place the 7 above the division bar.
  • Step 10: Multiply 7 by 23 to get 161, and subtract from 182 to get a remainder of 21.
  • Step 11: Bring down the last digit, making it 210.
  • Step 12: Divide 210 by 23 to get 9. Place the 9 above the division bar.
  • Step 13: Multiply 9 by 23 to get 207, and subtract from 210 to get a remainder of 3.
  • Step 14: The quotient is 1487, and there is a remainder of 1.

Through this process, we find that when 34202 is divided by 23, the quotient is 1487 1487 with a remainder of 1.

Therefore, the correct answer is 1487 1487 with a remainder of 1.

3

Final Answer

1487 1487 with a remainder of 1

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