How many times does 24 divide into 175?

How many times does the digit 24 appear in the number 175?

175 divided by 24 equals 7 with a remainder of 7

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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 (24).
  • Quotient: The whole-number result of division.
  • Remainder: The amount left over after division.

Step 2: Set Up the Division

Calculate 175 ÷ 24 to determine how many times 24 fits fully into 175.

Step 3: Perform the Division

175 ÷ 24=7.2916666666667

  • Whole-number quotient: 7 (the number of times 24 fits completely into 175).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

7 x 24 = 168

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

175 - 168 = 7

  • Remainder: 7 (the amount left over).

Final Answer

175 ÷ 24 = 7 R 7

  • 24 fits into 175 exactly 7 times with a remainder of 7.