How many times does 23 divide into 164?

How many times does the digit 23 appear in the number 164?

164 divided by 23 equals 7 with a remainder of 3

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (164).
  • 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 164 ÷ 23 to determine how many times 23 fits fully into 164.

Step 3: Perform the Division

164 ÷ 23=7.1304347826087

  • Whole-number quotient: 7 (the number of times 23 fits completely into 164).

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:

164 - 161 = 3

  • Remainder: 3 (the amount left over).

Final Answer

164 ÷ 23 = 7 R 3

  • 23 fits into 164 exactly 7 times with a remainder of 3.