How many times does 17 divide into 295?

How many times does the digit 17 appear in the number 295?

295 divided by 17 equals 17 with a remainder of 6

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (295).
  • 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 295 ÷ 17 to determine how many times 17 fits fully into 295.

Step 3: Perform the Division

295 ÷ 17=17.352941176471

  • Whole-number quotient: 17 (the number of times 17 fits completely into 295).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

17 x 17 = 289

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

295 - 289 = 6

  • Remainder: 6 (the amount left over).

Final Answer

295 ÷ 17 = 17 R 6

  • 17 fits into 295 exactly 17 times with a remainder of 6.