Long Division Problem: Dividing 83214 by 7 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, pay attention to placement

00:11 Now multiply the result by the divisor

00:14 Subtract the product from the number

00:17 Now bring down the next digit below and use the same steps

00:20 Divide

00:23 Write the result without remainder above, pay attention to placement

00:26 Multiply the result and subtract

00:30 Now bring down the next digit below and use the same steps

00:34 Divide

00:39 Write the result without remainder above, pay attention to placement

00:42 Multiply the result and subtract

00:50 Now bring down the next digit below and use the same steps

00:55 Divide

01:00 Write the result without remainder above, pay attention to placement

01:03 Multiply the result and subtract

01:09 Now bring down the next digit below and use the same steps

01:13 Divide

01:17 Write the result without remainder above, pay attention to placement

01:22 Multiply the result and subtract

01:28 We got a remainder of 5

01:34 And this is the solution to the problem

Step-by-Step Solution

To solve the problem of dividing 83214 by 7 using long division, follow these steps:

Step 1: Start with the first digit of the dividend. Divide 8 by 7. The result is 1.
Step 2: Write 1 as part of the quotient. Multiply 1 by 7 to get 7. Subtract 7 from 8, leaving a remainder of 1.
Step 3: Bring down the next digit of the dividend, which is 3, making it 13.
Step 4: Divide 13 by 7 to get 1. Write 1 as the next digit of the quotient. Multiply 1 by 7 to get 7 and subtract from 13, leaving 6.
Step 5: Bring down the next dividend digit, which is 2, making it 62.
Step 6: Divide 62 by 7 to get 8. Write down 8 in the quotient. Multiply 8 by 7 to obtain 56 and subtract from 62, resulting in 6.
Step 7: Bring down the next digit, which is 1, leading to 61.
Step 8: Divide 61 by 7 to get 8. Write down 8 in the quotient. Multiply 8 by 7 to get 56 and subtract from 61, leaving 5.
Step 9: Bring down the last digit, which is 4, resulting in 54.
Step 10: Divide 54 by 7 to get 7. Write down 7 in the quotient. Multiply 7 by 7 to get 49, subtract from 54, leaving a remainder of 5.

Thus, after dividing 83214 by 7 using long division, the quotient is $11887$ with a remainder of 5.