How many times does 17 divide into 164?

How many times does the digit 17 appear in the number 164?

164 divided by 17 equals 9 with a remainder of 11

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (164).
  • 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 164 ÷ 17 to determine how many times 17 fits fully into 164.

Step 3: Perform the Division

164 ÷ 17=9.6470588235294

  • Whole-number quotient: 9 (the number of times 17 fits completely into 164).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

9 x 17 = 153

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

164 - 153 = 11

  • Remainder: 11 (the amount left over).

Final Answer

164 ÷ 17 = 9 R 11

  • 17 fits into 164 exactly 9 times with a remainder of 11.