How many times does 17 divide into 114?

How many times does the digit 17 appear in the number 114?

114 divided by 17 equals 6 with a remainder of 12

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (114).
  • Divisor: The number dividing the dividend (17).
  • Quotient: The whole-number result of division.
  • Remainder: The amount left over after division.

Step 2: Set Up the Division

Calculate 114 ÷ 17 to determine how many times 17 fits fully into 114.

Step 3: Perform the Division

114 ÷ 17=6.7058823529412

  • Whole-number quotient: 6 (the number of times 17 fits completely into 114).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

6 x 17 = 102

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

114 - 102 = 12

  • Remainder: 12 (the amount left over).

Final Answer

114 ÷ 17 = 6 R 12

  • 17 fits into 114 exactly 6 times with a remainder of 12.