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

Video Solution

Solution Steps

00:00 Solve

00:03 Let's start by dividing the leftmost digit in the dividend

00:06 3 is less than 23, so we'll add the next digit and then divide

00:13 Write the result without the remainder above, paying attention to position

00:16 Now multiply the result by the divisor

00:19 Subtract the product from the number

00:25 Now bring down the next digit and use the same steps

00:29 Divide

00:34 Write the result without the remainder above, paying attention to position

00:43 Multiply the result and subtract

00:53 Now bring down the next digit and use the same steps

00:56 Divide

01:07 Write the result without the remainder above, paying attention to position

01:14 Multiply the result and subtract

01:25 Now bring down the next digit and use the same steps

01:30 Divide

01:37 Write the result without the remainder above, paying attention to position

01:42 Multiply the result and subtract

01:54 We got a remainder of 1

01:57 And this is the solution to the question

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.