Long Division Problem: Dividing 2831 by 5 Step-by-Step

Video Solution

Solution Steps

00:04 Let's solve the problem step by step.

00:07 First, look at the leftmost number in our dividend.

00:11 Since two is less than five, we'll take the next digit and divide again.

00:17 Write the answer above, being careful with the position, without the remainder.

00:22 Next, multiply the answer by the divisor.

00:26 Subtract the product from your current number.

00:30 Bring down the next digit, and repeat these steps.

00:34 Now, divide the new number.

00:39 Again, write the result above, noting the position, and ignore the remainder.

00:45 Multiply your result, and subtract from your number.

00:57 Bring down the next digit, and repeat the steps.

01:03 Time to divide once more.

01:06 Place the new result above, and be mindful of the position.

01:11 Multiply, subtract, and check your remainder.

01:17 We have a remainder of one.

01:21 And that's our solution. Great job!

Step-by-Step Solution

To solve this problem, we'll use long division to divide 2831 by 5:

Step 1: Divide the first digit of the dividend (2) by 5. Since 2 is less than 5, use the first two digits (28).
Step 2: 5 goes into 28 five times (because $5 \times 5 = 25$ ), so place 5 in the quotient.
Step 3: Subtract 25 from 28, resulting in a remainder of 3. Bring down the next digit (3) to get 33.
Step 4: 5 goes into 33 six times (because $5 \times 6 = 30$ ), so place 6 in the quotient.
Step 5: Subtract 30 from 33, resulting in a remainder of 3. Bring down the next digit (1) to get 31.
Step 6: 5 goes into 31 six times (because $5 \times 6 = 30$ ), so place another 6 in the quotient.
Step 7: Subtract 30 from 31, resulting in a final remainder of 1.

The complete quotient is 566 with a remainder of 1.

Therefore, the correct answer is the option: $566$ with a remainder of 1.