How many times does 13 divide into 226?

How many times does the digit 13 appear in the number 226?

226 divided by 13 equals 17 with a remainder of 5

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (226).
  • 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 226 ÷ 13 to determine how many times 13 fits fully into 226.

Step 3: Perform the Division

226 ÷ 13=17.384615384615

  • Whole-number quotient: 17 (the number of times 13 fits completely into 226).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

17 x 13 = 221

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

226 - 221 = 5

  • Remainder: 5 (the amount left over).

Final Answer

226 ÷ 13 = 17 R 5

  • 13 fits into 226 exactly 17 times with a remainder of 5.