How many times does 7 divide into 289?

How many times does the digit 7 appear in the number 289?

289 divided by 7 equals 41 with a remainder of 2

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (289).
  • Divisor: The number dividing the dividend (7).
  • Quotient: The whole-number result of division.
  • Remainder: The amount left over after division.

Step 2: Set Up the Division

Calculate 289 ÷ 7 to determine how many times 7 fits fully into 289.

Step 3: Perform the Division

289 ÷ 7=41.285714285714

  • Whole-number quotient: 41 (the number of times 7 fits completely into 289).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

41 x 7 = 287

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

289 - 287 = 2

  • Remainder: 2 (the amount left over).

Final Answer

289 ÷ 7 = 41 R 2

  • 7 fits into 289 exactly 41 times with a remainder of 2.