How many times does 13 divide into 164?

How many times does the digit 13 appear in the number 164?

164 divided by 13 equals 12 with a remainder of 8

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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 (13).
  • Quotient: The whole-number result of division.
  • Remainder: The amount left over after division.

Step 2: Set Up the Division

Calculate 164 ÷ 13 to determine how many times 13 fits fully into 164.

Step 3: Perform the Division

164 ÷ 13=12.615384615385

  • Whole-number quotient: 12 (the number of times 13 fits completely into 164).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

12 x 13 = 156

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

164 - 156 = 8

  • Remainder: 8 (the amount left over).

Final Answer

164 ÷ 13 = 12 R 8

  • 13 fits into 164 exactly 12 times with a remainder of 8.