Long Division Problem: Dividing 133 by 7 Step-by-Step

7133

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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 7 is greater than 1, so we'll bring down the next digit and then divide
00:14 Write the result without remainder above, paying attention to position
00:20 Now multiply the result by the divisor
00:25 Subtract the product from the number
00:30 Now bring down the next digit below and use the same steps
00:36 Divide
00:39 Write the result above
00:43 Multiply the result, subtract
00:48 We got a remainder of 0
00:51 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

7133

2

Step-by-step solution

To solve this problem, we'll perform long division:

  • **Step 1**: Write down the division as 133รท7 133 \div 7 .
  • **Step 2**: Start with the leading digit or first two digits, 13 13 . Determine how many times 7 can fit into 13. The number 7 fits into 13 a total of 1 time.
  • **Step 3**: Multiply 1 by 7 to get 7, and subtract 7 from 13 to get a remainder of 6.
  • **Step 4**: Bring down the next digit, which is 3, making the number 63.
  • **Step 5**: Determine how many times 7 can fit into 63. The number 7 fits into 63 a total of 9 times.
  • **Step 6**: Multiply 9 by 7 to get 63. Subtract 63 from 63 to obtain a remainder of 0.

Therefore, the division results in 19 19 with no remainder.

The solution to the problem is 19 19 .

3

Final Answer

19 19

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