What is 638 divided by 74?

Answer: 638 ÷ 74 = 8, R = 46

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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 (638). Verify if this digit is greater than or equal to the divisor (74).
  • 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,

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8 7 4 6 3 8 - 5 9 2 4 6 Quotient Dividend Divisor Remainder 638 ÷ 74 = 8, R = 46 ©AskMathGuru

Each step is animated so you can see exactly how the solution is built — from writing the problem down to arriving at the final answer. This is not just an answer — it's a complete visual explanation.

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