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

Video Solution

Solution Steps

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 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: $\text{Quotient} = 40$ , $\text{Remainder} = 1$ .

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