Long Division Problem: Dividing 8422 by 3 Step-by-Step

Video Solution

Solution Steps

00:00 Solve

00:04 Let's start by dividing the leftmost digit in the dividend

00:10 Write the result without the remainder above

00:16 Now multiply the result by the divisor

00:20 Subtract the product from the number

00:24 Now bring down the next digit and use the same steps

00:27 Divide

00:32 Write the result without the remainder above, pay attention to the position

00:37 Multiply the result and subtract

00:43 Now bring down the next digit and use the same steps

00:50 Divide

00:53 Write the result without the remainder above, pay attention to the position

00:56 Multiply the result and subtract

01:00 Now bring down the next digit and use the same steps

01:03 Divide

01:08 Write the result without the remainder above, pay attention to the position

01:11 Multiply the result and subtract

01:17 We got a remainder of 1

01:21 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll execute a long division of 8422 by 3 as follows:

First, divide the first digit, 8, by 3. 3 goes into 8 two times, since $3 \times 2 = 6$ . The remainder is 8 - 6 = 2.
Bring down the next digit, 4, to the remainder, making it 24. Now, divide 24 by 3. 3 goes into 24 eight times, since $3 \times 8 = 24$ . The remainder is 24 - 24 = 0.
Bring down the next digit, 2, making it 2. Divide 2 by 3. 3 cannot go into 2, so the quotient is 0 and the remainder remains 2.
Bring down the final digit, 2, making it 22. Divide 22 by 3. 3 goes into 22 seven times, since $3 \times 7 = 21$ . The remainder is 22 - 21 = 1.

Following the division steps leads us to a quotient of 2807 with a remainder of 1.

Therefore, the solution to the problem is $2807$ with a remainder of 1.