How many times does 17 divide into 217?

How many times does the digit 17 appear in the number 217?

217 divided by 17 equals 12 with a remainder of 13

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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 (17).
  • Quotient: The whole-number result of division.
  • Remainder: The amount left over after division.

Step 2: Set Up the Division

Calculate 217 ÷ 17 to determine how many times 17 fits fully into 217.

Step 3: Perform the Division

217 ÷ 17=12.764705882353

  • Whole-number quotient: 12 (the number of times 17 fits completely into 217).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

12 x 17 = 204

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

217 - 204 = 13

  • Remainder: 13 (the amount left over).

Final Answer

217 ÷ 17 = 12 R 13

  • 17 fits into 217 exactly 12 times with a remainder of 13.