Solve Division Problem: 8160 ÷ 8 Using Long Division Method

Video Solution

Solution Steps

00:00 Solve

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

00:07 Write the result above

00:10 Now multiply the result by the divisor

00:13 Subtract the product from the digit

00:17 Now bring down the next digit below and use the same steps

00:21 Divide

00:24 Write the result without remainder above, pay attention to the position

00:27 Multiply the result, subtract

00:33 Now bring down the next digit below and use the same steps

00:36 Divide

00:39 Write the result above

00:43 Multiply the result, subtract

00:48 Now bring down the next digit below and use the same steps

00:53 Divide

00:56 Write the result above

01:00 Multiply the result, subtract

01:03 We got a remainder of 0

01:07 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll perform long division of 8160 by 8:

Step 1: Begin with the first digit. Divide 8 (the divisor) into 8 (the first digit of 8160), which goes 1 time. Thus, the first digit of the quotient is 1.
Step 2: Multiply 8 (divisor) by 1 (quotient part) to get 8. Subtract 8 from 8 to get 0. Bring down the next digit, which is 1.
Step 3: Divide 8 into 1. Since it doesn't go fully, note 0 in the quotient and bring down the next digit, 6, making it 16.
Step 4: Now divide 8 into 16, which goes 2 times. So, write 2 in the quotient.
Step 5: Multiply 8 by 2 to get 16, subtract to get 0, and bring down the final digit, 0.
Step 6: Divide 8 into 0, which is 0, and that's the final digit of the quotient.

Therefore, the quotient of dividing 8160 by 8 is $\mathbf{1020}$ .