How many times does 11 divide into 171?

How many times does the digit 11 appear in the number 171?

171 divided by 11 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 (171).
  • Divisor: The number dividing the dividend (11).
  • Quotient: The whole-number result of division.
  • Remainder: The amount left over after division.

Step 2: Set Up the Division

Calculate 171 ÷ 11 to determine how many times 11 fits fully into 171.

Step 3: Perform the Division

171 ÷ 11=15.545454545455

  • Whole-number quotient: 15 (the number of times 11 fits completely into 171).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

15 x 11 = 165

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

171 - 165 = 6

  • Remainder: 6 (the amount left over).

Final Answer

171 ÷ 11 = 15 R 6

  • 11 fits into 171 exactly 15 times with a remainder of 6.