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

783214

โค๏ธ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

783214

2

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 11887 with a remainder of 5.

3

Final Answer

11887 11887 with a remainder of 5

Practice Quiz

Test your knowledge with interactive questions

550

๐ŸŒŸ Unlock Your Math Potential

Get unlimited access to all 18 Arithmetic Operations questions, detailed video solutions, and personalized progress tracking.

๐Ÿ“น

Unlimited Video Solutions

Step-by-step explanations for every problem

๐Ÿ“Š

Progress Analytics

Track your mastery across all topics

๐Ÿšซ

Ad-Free Learning

Focus on math without distractions

No credit card required โ€ข Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations

Long Division

Long Division Problem: Divide 72034 by 9 Step by Step
Click to solve
Divisibility Test: Is 652023 Divisible by 6?
Click to solve