Long Division Problem: Dividing 83214 by 7 Step-by-Step

Video Solution

Solution Steps

00:06 Alright, let's solve this problem step by step.

00:10 First, take the leftmost digit of the dividend. Divide it by the divisor.

00:15 Write the quotient on top. Be careful with placement!

00:19 Next, multiply this quotient by the divisor.

00:23 Then, subtract that product from your current number.

00:27 Bring down the next digit from the dividend.

00:30 Now, divide the new number just like before.

00:33 Write the new result above.

00:36 Multiply, then subtract like last time.

00:40 Again, bring down the next digit.

00:43 Divide the new number we created.

00:46 Place the new quotient carefully on top.

00:49 Multiply the quotient and subtract again.

00:56 Bring down another digit.

01:01 Now, divide the number as we've practiced.

01:06 Write this quotient above without remainder.

01:10 Multiply, subtract, and repeat!

01:15 One more time, bring down the next digit.

01:19 Divide it, just like before.

01:23 Write down this result with no remainder.

01:28 Multiply and subtract from the current number.

01:34 Notice, we have a remainder of 5.

01:40 And that's how we solve the problem. Great job!

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.