How many times does 23 divide into 174?

How many times does the digit 23 appear in the number 174?

174 divided by 23 equals 7 with a remainder of 13

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (174).
  • Divisor: The number dividing the dividend (23).
  • Quotient: The whole-number result of division.
  • Remainder: The amount left over after division.

Step 2: Set Up the Division

Calculate 174 ÷ 23 to determine how many times 23 fits fully into 174.

Step 3: Perform the Division

174 ÷ 23=7.5652173913043

  • Whole-number quotient: 7 (the number of times 23 fits completely into 174).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

7 x 23 = 161

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

174 - 161 = 13

  • Remainder: 13 (the amount left over).

Final Answer

174 ÷ 23 = 7 R 13

  • 23 fits into 174 exactly 7 times with a remainder of 13.