Solve Division Problem: 13 ÷ 845 Using Standard Algorithm

Video Solution

Solution Steps

00:00 Solve

00:03 Let's start by dividing the leftmost digit in the dividend

00:06 8 is less than 13, so we'll bring down the next digit, and then divide

00:17 Write the result without the remainder above, paying attention to placement

00:20 Now multiply the result by the divisor

00:26 Subtract the product from the number

00:31 Now bring down the next digit below and use the same steps

00:34 Divide

00:38 Write the result without the remainder above, paying attention to placement

00:41 Multiply the result and subtract

00:47 We got a remainder of 0

00:52 And this is the solution to the 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 $65$ .