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

Long Division with Multi-Step Remainders

163240

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve the problem step by step.
00:08 First, divide the leftmost digit in the dividend.
00:13 The number 3 is smaller than 16, so add the next digit and divide.
00:18 Write the result on top. Keep it aligned correctly.
00:22 Next, multiply this result by the divisor.
00:25 Now subtract that product from the original number.
00:29 Bring down the next digit and repeat these steps.
00:33 Again, we divide.
00:38 Place the result above, keeping the position in mind.
00:43 Multiply the result and then subtract. Keep following these steps.
00:48 Once more, bring down a digit.
00:51 And let's divide again.
00:55 Put the result above. Keep the numbers aligned.
01:00 Multiply and subtract once more. We're almost done.
01:07 We've got a remainder of 8.
01:11 And that's how we solve this problem. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

163240

2

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.

3

Final Answer

202 202 with a remainder of 8

Key Points to Remember

Essential concepts to master this topic
  • Setup: Work left to right, dividing digits systematically
  • Technique: Multiply quotient digit by divisor: 2×16=32, subtract from 32
  • Check: Quotient×divisor+remainder equals dividend: 202×16+8=3240 ✓

Common Mistakes

Avoid these frequent errors
  • Not bringing down digits properly in each step
    Don't skip bringing down the next digit after each subtraction = incomplete division! This leads to wrong quotient digits and incorrect remainders. Always bring down the next digit immediately after subtracting to form the new working number.

Practice Quiz

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216

FAQ

Everything you need to know about this question

How do I know which digits to divide first?

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Start from the leftmost digits and work right. Take enough digits so the number is larger than or equal to your divisor. Here, we started with 32 because 3 alone is smaller than 16.

What if the divisor doesn't go evenly into the working number?

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That's normal! Write down how many times it goes in completely, then subtract that amount and bring down the next digit. The leftover becomes part of your next working number.

How do I check if my long division is correct?

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Use this formula: quotient × divisor + remainder = original dividend. For our problem: 202×16+8=3232+8=3240 202 \times 16 + 8 = 3232 + 8 = 3240

What happens if I get a remainder that's bigger than the divisor?

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That means you made an error! The remainder should always be smaller than the divisor. Go back and check your division and subtraction steps.

Why did we get 202 instead of 225 like some other answers?

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Each step matters! We got 2 (from 32÷16), then 0 (from 4÷16), then 2 (from 80÷16). Following the process carefully gives us 202, not random guessing.

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