What is 3966 divided by 74?

Answer: 3966 ÷ 74 = 53, R = 44

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 (3966). 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,

5 undefined 3 7 4 3 9 6 6 - 3 7 0 2 6 6 - 2 2 2 4 4 Quotient Dividend Divisor Remainder 3966 ÷ 74 = 53, R = 44 ©AskMathGuru
Need support for a different topic or want to share a feedback? Write to us and we'll work on adding it. Be a part of our progress!