How many times does 11 divide into 105?

How many times does the digit 11 appear in the number 105?

105 divided by 11 equals 9 with a remainder of 6

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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 (11).
  • Quotient: The whole-number result of division.
  • Remainder: The amount left over after division.

Step 2: Set Up the Division

Calculate 105 ÷ 11 to determine how many times 11 fits fully into 105.

Step 3: Perform the Division

105 ÷ 11=9.5454545454545

  • Whole-number quotient: 9 (the number of times 11 fits completely into 105).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

9 x 11 = 99

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

105 - 99 = 6

  • Remainder: 6 (the amount left over).

Final Answer

105 ÷ 11 = 9 R 6

  • 11 fits into 105 exactly 9 times with a remainder of 6.