How many times does 17 divide into 175?

How many times does the digit 17 appear in the number 175?

175 divided by 17 equals 10 with a remainder of 5

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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 (17).
  • Quotient: The whole-number result of division.
  • Remainder: The amount left over after division.

Step 2: Set Up the Division

Calculate 175 ÷ 17 to determine how many times 17 fits fully into 175.

Step 3: Perform the Division

175 ÷ 17=10.294117647059

  • Whole-number quotient: 10 (the number of times 17 fits completely into 175).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

10 x 17 = 170

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

175 - 170 = 5

  • Remainder: 5 (the amount left over).

Final Answer

175 ÷ 17 = 10 R 5

  • 17 fits into 175 exactly 10 times with a remainder of 5.