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

Video Solution

Solution Steps

00:00 Solve

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

00:07 2 is less than 5, so we'll add the next digit, and then divide

00:12 Write the result without the remainder above, paying attention to position

00:16 Now multiply the result by the divisor

00:20 Subtract the product from the number

00:25 Now bring down the next digit and use the same steps

00:30 Divide

00:35 Write the result without the remainder above, paying attention to position

00:40 Multiply the result, and subtract

00:53 Now bring down the next digit and use the same steps

00:59 Divide

01:02 Write the result without the remainder above, paying attention to position

01:07 Multiply the result, and subtract

01:13 We got a remainder of 1

01:17 And this is the solution to the question

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.