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

Video Solution

Solution Steps

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 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 $1487$ with a remainder of 1.

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