How many times does 13 divide into 175?

How many times does the digit 13 appear in the number 175?

175 divided by 13 equals 13 with a remainder of 6

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6

Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (175).
  • Divisor: The number dividing the dividend (13).
  • Quotient: The whole-number result of division.
  • Remainder: The amount left over after division.

Step 2: Set Up the Division

Calculate 175 ÷ 13 to determine how many times 13 fits fully into 175.

Step 3: Perform the Division

175 ÷ 13=13.461538461538

  • Whole-number quotient: 13 (the number of times 13 fits completely into 175).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

13 x 13 = 169

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

175 - 169 = 6

  • Remainder: 6 (the amount left over).

Final Answer

175 ÷ 13 = 13 R 6

  • 13 fits into 175 exactly 13 times with a remainder of 6.