How many times does 13 divide into 228?

How many times does the digit 13 appear in the number 228?

228 divided by 13 equals 17 with a remainder of 7

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (228).
  • 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 228 ÷ 13 to determine how many times 13 fits fully into 228.

Step 3: Perform the Division

228 ÷ 13=17.538461538462

  • Whole-number quotient: 17 (the number of times 13 fits completely into 228).

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:

228 - 221 = 7

  • Remainder: 7 (the amount left over).

Final Answer

228 ÷ 13 = 17 R 7

  • 13 fits into 228 exactly 17 times with a remainder of 7.