Solve Division Problem: 13 ÷ 845 Using Standard Algorithm

Video Solution

Solution Steps

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 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 $13 \times 6 = 78$ ).
Step 3: Subtract the result from 84, giving $84 - 78 = 6$ .
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 $13 \times 5 = 65$ ).
Step 6: Subtract the result from 65, giving $65 - 65 = 0$ .

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

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