Long Division Problem: Dividing 321 by 8 Step-by-Step

8321

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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
00:06 3 is less than 8, so we'll bring down the next digit, and then divide
00:11 Write the result above, pay attention to the position
00:15 Now multiply the result by the divisor
00:20 Subtract the product from the number
00:26 Now bring down the next digit below and use the same steps
00:31 Divide
00:35 Write the result without the remainder above, pay attention to the position
00:38 Multiply the result and subtract
00:43 We got a remainder of 1
00:48 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

8321

2

Step-by-step solution

To solve the problem of dividing 321 by 8, we'll perform long division. Here are the steps:

  • Step 1: Set up 321 as the dividend and 8 as the divisor.
  • Step 2: Determine how many times 8 fits into the first digit of 321. Since 8 goes into 32 (the first two digits) four times without exceeding it, write 4 above the dividend.
  • Step 3: Multiply 8 by 4 giving 32, and subtract 32 from 32, resulting in 0.
  • Step 4: Bring down the next digit, 1, making the current number 1.
  • Step 5: Determine how many times 8 fits into 1. It fits 0 times, placing a 0 in the quotient.
  • Step 6: Since there are no more digits to bring down, 1 becomes the remainder.

Therefore, the quotient is 40 and the remainder is 1.

Thus, the solution to dividing 321 by 8 is: Quotient=40\text{Quotient} = 40, Remainder=1\text{Remainder} = 1.

According to the given choices, the correct choice is: 40 40 with a remainder of 1

3

Final Answer

40 40 with a remainder of 1

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