How many times does 13 divide into 233?

How many times does the digit 13 appear in the number 233?

233 divided by 13 equals 17 with a remainder of 12

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (233).
  • 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 233 ÷ 13 to determine how many times 13 fits fully into 233.

Step 3: Perform the Division

233 ÷ 13=17.923076923077

  • Whole-number quotient: 17 (the number of times 13 fits completely into 233).

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:

233 - 221 = 12

  • Remainder: 12 (the amount left over).

Final Answer

233 ÷ 13 = 17 R 12

  • 13 fits into 233 exactly 17 times with a remainder of 12.