How many times does 15 divide into 175?

How many times does the digit 15 appear in the number 175?

175 divided by 15 equals 11 with a remainder of 10

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (175).
  • Divisor: The number dividing the dividend (15).
  • Quotient: The whole-number result of division.
  • Remainder: The amount left over after division.

Step 2: Set Up the Division

Calculate 175 ÷ 15 to determine how many times 15 fits fully into 175.

Step 3: Perform the Division

175 ÷ 15=11.666666666667

  • Whole-number quotient: 11 (the number of times 15 fits completely into 175).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

11 x 15 = 165

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

175 - 165 = 10

  • Remainder: 10 (the amount left over).

Final Answer

175 ÷ 15 = 11 R 10

  • 15 fits into 175 exactly 11 times with a remainder of 10.