How many times does 17 divide into 105?

How many times does the digit 17 appear in the number 105?

105 divided by 17 equals 6 with a remainder of 3

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (105).
  • 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 105 ÷ 17 to determine how many times 17 fits fully into 105.

Step 3: Perform the Division

105 ÷ 17=6.1764705882353

  • Whole-number quotient: 6 (the number of times 17 fits completely into 105).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

6 x 17 = 102

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

105 - 102 = 3

  • Remainder: 3 (the amount left over).

Final Answer

105 ÷ 17 = 6 R 3

  • 17 fits into 105 exactly 6 times with a remainder of 3.