How many times does 13 divide into 289?

How many times does the digit 13 appear in the number 289?

289 divided by 13 equals 22 with a remainder of 3

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3

Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (289).
  • Divisor: The number dividing the dividend (13).
  • Quotient: The whole-number result of division.
  • Remainder: The amount left over after division.

Step 2: Set Up the Division

Calculate 289 ÷ 13 to determine how many times 13 fits fully into 289.

Step 3: Perform the Division

289 ÷ 13=22.230769230769

  • Whole-number quotient: 22 (the number of times 13 fits completely into 289).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

22 x 13 = 286

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

289 - 286 = 3

  • Remainder: 3 (the amount left over).

Final Answer

289 ÷ 13 = 22 R 3

  • 13 fits into 289 exactly 22 times with a remainder of 3.