How many times does 17 divide into 205?

How many times does the digit 17 appear in the number 205?

205 divided by 17 equals 12 with a remainder of 1

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (205).
  • 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 205 ÷ 17 to determine how many times 17 fits fully into 205.

Step 3: Perform the Division

205 ÷ 17=12.058823529412

  • Whole-number quotient: 12 (the number of times 17 fits completely into 205).

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:

205 - 204 = 1

  • Remainder: 1 (the amount left over).

Final Answer

205 ÷ 17 = 12 R 1

  • 17 fits into 205 exactly 12 times with a remainder of 1.