How many times does 3 divide into 113?

How many times does the digit 3 appear in the number 113?

113 divided by 3 equals 37 with a remainder of 2

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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 (3).
  • Quotient: The whole-number result of division.
  • Remainder: The amount left over after division.

Step 2: Set Up the Division

Calculate 113 ÷ 3 to determine how many times 3 fits fully into 113.

Step 3: Perform the Division

113 ÷ 3=37.666666666667

  • Whole-number quotient: 37 (the number of times 3 fits completely into 113).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

37 x 3 = 111

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

113 - 111 = 2

  • Remainder: 2 (the amount left over).

Final Answer

113 ÷ 3 = 37 R 2

  • 3 fits into 113 exactly 37 times with a remainder of 2.