Long Division Problem: Breaking Down 2831 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 Write the result without remainder above

00:10 Now multiply the result by the divisor

00:13 Subtract the product from the number

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, and subtract

00:35 Now bring down the next digit below and use the same steps

00:38 Divide

00:41 Write the result without remainder above, pay attention to the position

00:45 Multiply the result, and subtract

00:50 We got a remainder of 1

00:55 And this is the solution to the problem

Step-by-Step Solution

To solve this arithmetic problem using long division, we will divide 831 by 2.

Let's perform the steps:

Set up 831 divided by 2.
Look at the first digit of 831: 8. Divide 8 by 2, which equals 4. Write 4 as the first digit of the quotient.
Multiply 4 by 2 to get 8. Subtract 8 from 8 to get 0. Bring down the next digit, which is 3.
Now divide 3 by 2. 2 fits into 3 one time. Write 1 as the next digit of the quotient.
Multiply 1 by 2, yield 2. Subtract 2 from 3 to get a remainder of 1. Bring down the next digit, 1, to make 11.
Next, divide 11 by 2. 2 fits into 11 five times. Write 5 as the next digit of the quotient.
Multiply 5 by 2, giving 10. Subtract 10 from 11 to get a remainder of 1.

The quotient is 415 and the remainder is 1.

Therefore, the solution to the problem is $415$ with a remainder of 1.