Long Division Problem: Divide 7208 by 6 Step-by-Step

67208

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Let's start by dividing the leftmost digit in the dividend
00:08 Write the result without the remainder above
00:11 Now multiply the result by the divisor
00:14 Subtract the product from the number
00:19 Now bring down the next digit and use the same steps
00:22 Divide
00:25 Write the result without the remainder above, pay attention to placement
00:28 Multiply the result and subtract
00:35 Now bring down the next digit and use the same steps
00:39 Divide
00:42 Write the result without the remainder above, pay attention to placement
00:46 Multiply the result and subtract
00:52 Now bring down the next digit and use the same steps
00:56 Divide
01:00 Write the result without the remainder above, pay attention to placement
01:03 Multiply the result and subtract
01:07 We got a remainder of 2
01:11 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

67208

2

Step-by-step solution

First, let's perform the division of 7208 by 6 step-by-step using long division.

  1. Divide the first digit of the dividend 7 by 6. The quotient is 1.
  2. Multiply 1 by 6 to get 6, and subtract this from 7 to get a remainder of 1.
  3. Bring down the next digit of the dividend, 2, to make it 12.
  4. Divide 12 by 6. The quotient is 2.
  5. Multiply 2 by 6 to get 12, and subtract from 12 to get a remainder of 0.
  6. Bring down the next digit, 0, to make it 0.
  7. Divide 0 by 6. The quotient is 0. Multiply 0 by 6 to get 0.
  8. Bring down the next digit, 8, making it 8.
  9. Divide 8 by 6. The quotient is 1.
  10. Multiply 1 by 6 to get 6, and subtract from 8 to get a remainder of 2.

After performing long division, the quotient of 7208 divided by 6 is 1201 1201 with a remainder of 2.

Therefore, the answer is 1201 1201 with a remainder of 2.

3

Final Answer

1201 1201 with a remainder of 2

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