Long Division Problem: Dividing 3240 by 16 Step-by-Step

Question

163240

Video Solution

Solution Steps

00:00 Solve
00:04 Let's start by dividing the leftmost digit in the dividend
00:07 3 is less than 16, so we'll add the next digit, and then divide
00:13 Write the result without remainder above, pay attention to the position
00:17 Now multiply the result by the divisor
00:20 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 remainder above, pay attention to the position
00:37 Multiply the result and subtract
00:44 Now bring down the next digit and use the same steps
00:47 Divide
00:51 Write the result without remainder above, pay attention to the position
00:56 Multiply the result and subtract
01:03 We got a remainder of 8
01:07 And this is the solution to the problem

Step-by-Step Solution

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

  • Step 1: Set up the problem by writing 3240 under the division bracket and 16 outside.
  • Step 2: Determine how many times 16 goes into the leading number within the dividend.

Let's work through each step:

Step 1: Consider the first two digits of 3240, which is 32. Divide 32 by 16.

Step 2: 1616 goes into 3232 two times. Write 22 above the line as the first digit of the quotient.

Step 3: Multiply 22 by 1616 to get 3232, and subtract this from the current digit segment, which is 3232. We have no remainder yet, so bring down the next digit, which is 44.

Step 4: Now divide 4040 (after bringing down the next digit) by 1616. 1616 goes into 4040 two times as well. Write 22 as the next digit of the quotient.

Step 5: Multiply 22 by 1616 to get 3232, and subtract from the current digit segment, 4040. This gives a remainder of 88, and we bring down the last 00, which now makes 8080.

Step 6: 1616 goes into 8080 five times. Write 55 as the last digit of the quotient.

Step 7: Multiply 55 by 1616 to get 8080, subtract from 8080 to get a remainder of 00. Bring down the final 00, there is no digit remaining after this.

Therefore, the solution to the problem is that the quotient is 202 202 with a remainder of 8 8 , which matches choice 4.

Answer

202 202 with a remainder of 8