How many times does 3 divide into 106?

How many times does the digit 3 appear in the number 106?

106 divided by 3 equals 35 with a remainder of 1

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (106).
  • 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 106 ÷ 3 to determine how many times 3 fits fully into 106.

Step 3: Perform the Division

106 ÷ 3=35.333333333333

  • Whole-number quotient: 35 (the number of times 3 fits completely into 106).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

35 x 3 = 105

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

106 - 105 = 1

  • Remainder: 1 (the amount left over).

Final Answer

106 ÷ 3 = 35 R 1

  • 3 fits into 106 exactly 35 times with a remainder of 1.