Solve Division Problem: 13 ÷ 845 Using Standard Algorithm

13845

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Step-by-step video solution

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00:04 Okay, let's solve a division problem!
00:07 First, look at the leftmost digit of the number we're dividing.
00:12 Since 8 is smaller than 13, we need to bring down the next digit and then divide.
00:21 Write the result just above, making sure it's in the right spot.
00:25 Now, multiply this result by the divisor to see what we get.
00:30 Next, subtract that product from the current number.
00:35 Bring down the next digit, and repeat the steps.
00:38 Divide again and keep going.
00:42 Remember to place the results correctly above.
00:45 Multiply the last result and subtract.
00:51 We have no remainder, so we've solved it completely!
00:56 Great job! That's how we find the solution to this problem.

Step-by-step written solution

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1

Understand the problem

13845

2

Step-by-step solution

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

  • Step 1: Divide 8 by 13. Thirteen goes into 8 zero times, so check next digit to make 84.
  • Step 2: Divide 84 by 13. Thirteen fits into 84 six times (since 13×6=78 13 \times 6 = 78 ).
  • Step 3: Subtract the result from 84, giving 84−78=6 84 - 78 = 6 .
  • Step 4: Bring down the next digit of 845, which is 5, making it 65.
  • Step 5: Divide 65 by 13. Thirteen fits into 65 five times (since 13×5=65 13 \times 5 = 65 ).
  • Step 6: Subtract the result from 65, giving 65−65=0 65 - 65 = 0 .

The division ends here with no remainder, meaning our quotient is complete.

Therefore, the quotient of 845 divided by 13 is 65 65 .

3

Final Answer

65 65

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