How many times does 11 divide into 113?

How many times does the digit 11 appear in the number 113?

113 divided by 11 equals 10 with a remainder of 3

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (113).
  • 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 113 ÷ 11 to determine how many times 11 fits fully into 113.

Step 3: Perform the Division

113 ÷ 11=10.272727272727

  • Whole-number quotient: 10 (the number of times 11 fits completely into 113).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

10 x 11 = 110

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

113 - 110 = 3

  • Remainder: 3 (the amount left over).

Final Answer

113 ÷ 11 = 10 R 3

  • 11 fits into 113 exactly 10 times with a remainder of 3.