How many times does 17 divide into 261?

How many times does the digit 17 appear in the number 261?

261 divided by 17 equals 15 with a remainder of 6

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (261).
  • 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 261 ÷ 17 to determine how many times 17 fits fully into 261.

Step 3: Perform the Division

261 ÷ 17=15.352941176471

  • Whole-number quotient: 15 (the number of times 17 fits completely into 261).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

15 x 17 = 255

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

261 - 255 = 6

  • Remainder: 6 (the amount left over).

Final Answer

261 ÷ 17 = 15 R 6

  • 17 fits into 261 exactly 15 times with a remainder of 6.