How many times does 13 divide into 217?

How many times does the digit 13 appear in the number 217?

217 divided by 13 equals 16 with a remainder of 9

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (217).
  • 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 217 ÷ 13 to determine how many times 13 fits fully into 217.

Step 3: Perform the Division

217 ÷ 13=16.692307692308

  • Whole-number quotient: 16 (the number of times 13 fits completely into 217).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

16 x 13 = 208

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

217 - 208 = 9

  • Remainder: 9 (the amount left over).

Final Answer

217 ÷ 13 = 16 R 9

  • 13 fits into 217 exactly 16 times with a remainder of 9.