What is 4116 divided by 667?

Answer: 4116 ÷ 667 = 6, R = 114

Long Division Method

Long division is a technique used to break down large numbers into manageable steps, simplifying the division process into a series of sequential steps. It is widely employed as the primary method for solving division problems.

  • Step 1: Begin by taking the leftmost digit of the dividend (4116). Verify if this digit is greater than or equal to the divisor (667).
  • Step 2: Divide this digit by the divisor and record the quotient above.
  • Step 3: Subtract the product of the division from the original digit and note the difference below.
  • Step 4: If there are additional digits in the dividend, bring down the next one.
  • Step 5: Repeat the same process.

The following animation demonstrates the Long DIvision method,

6 6 6 7 4 1 1 6 - 4 0 0 2 1 1 4 Quotient Dividend Divisor Remainder 4116 ÷ 667 = 6, R = 114 ©AskMathGuru
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