Long Division Problem: Dividing 20416 by 8 Step-by-Step

Long Division with Multi-Digit Numbers

820416

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Let's start by dividing the leftmost digit in the dividend
00:08 2 is less than 8, so we'll include the next digit, and then divide
00:12 Write the result without remainder above, paying attention to placement
00:15 Now multiply the result by the divisor
00:19 Subtract the product from the number
00:25 Now bring down the next digit and repeat the same steps
00:28 Divide
00:32 Write the result without remainder above, paying attention to placement
00:37 Multiply the result, and subtract
00:42 Now bring down the next digit and repeat the same steps
00:47 Divide
00:52 Write the result without remainder above, paying attention to placement
00:59 Multiply the result, and subtract
01:06 Now bring down the next digit and repeat the same steps
01:11 Divide
01:16 Write the result above, paying attention to placement
01:19 Multiply the result, and subtract
01:22 We got a remainder of 0
01:25 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

820416

2

Step-by-step solution

To solve this problem, we'll employ the long division method:

  • Step 1: Divide the first part of the number that is greater than or equal to the divisor. Start with 20 (from 20416).
  • Step 2: 20÷8=2 20 \div 8 = 2 . Write 2 as the part of the quotient. Multiply: 2×8=16 2 \times 8 = 16 . Subtract 16 16 from 20 20 to get 4 4 .
  • Step 3: Bring down the next digit from the dividend (20416), making it 44 44 .
  • Step 4: 44÷8=5 44 \div 8 = 5 . Write 5 to the quotient. Multiply: 5×8=40 5 \times 8 = 40 . Subtract 40 40 from 44 44 to get 4 4 .
  • Step 5: Bring down the next digit, making it 41 41 .
  • Step 6: 41÷8=5 41 \div 8 = 5 . Write 5 to the quotient. Multiply: 5×8=40 5 \times 8 = 40 . Subtract 40 40 from 41 41 to get 1 1 .
  • Step 7: Bring down the next digit, making it 16 16 .
  • Step 8: 16÷8=2 16 \div 8 = 2 . Write 2 to the quotient. Multiply: 2×8=16 2 \times 8 = 16 . Subtract 16 16 from 16 16 to get 0 0 .

The complete quotient of 20416÷8 20416 \div 8 is 2552 2552 , with no remainder. Therefore, the selected answer is the correct one.

The solution to the division is 2552 2552 .

3

Final Answer

2552 2552

Key Points to Remember

Essential concepts to master this topic
  • Setup: Divide from left to right, bringing down digits one by one
  • Technique: When 20 ÷ 8 = 2 remainder 4, bring down next digit to get 44
  • Check: Multiply quotient by divisor: 2552 × 8 = 20416 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to bring down the next digit before dividing
    Don't divide 4 by 8 after getting remainder 4 = wrong quotient! This creates gaps in your answer. Always bring down the next digit first to make 44, then divide 44 by 8.

Practice Quiz

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216

FAQ

Everything you need to know about this question

What if the first digit is smaller than the divisor?

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Take two digits instead! Since 2 < 8, we use 20 as our first division step. This is completely normal in long division.

How do I know how many times 8 goes into a number?

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Think of your multiplication tables! For 44 ÷ 8, ask: what times 8 gives me close to 44? Since 5 × 8 = 40 and 6 × 8 = 48, use 5.

What if I have a remainder at the end?

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In this problem we got 0 remainder, but if you have a remainder, you can either leave it as a remainder or continue dividing to get decimal places.

Why do we subtract after each multiplication?

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Subtraction shows us the leftover amount that we'll combine with the next digit. It's like figuring out what's left to divide.

Can I check my answer without multiplying the whole thing?

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Yes! You can check each step as you go. After getting 2, check: 2 × 8 = 16, and 20 - 16 = 4 ✓. This catches errors early!

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