How many times does 13 divide into 205?

How many times does the digit 13 appear in the number 205?

205 divided by 13 equals 15 with a remainder of 10

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (205).
  • 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 205 ÷ 13 to determine how many times 13 fits fully into 205.

Step 3: Perform the Division

205 ÷ 13=15.769230769231

  • Whole-number quotient: 15 (the number of times 13 fits completely into 205).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

15 x 13 = 195

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

205 - 195 = 10

  • Remainder: 10 (the amount left over).

Final Answer

205 ÷ 13 = 15 R 10

  • 13 fits into 205 exactly 15 times with a remainder of 10.