How many times does 7 divide into 253?

How many times does the digit 7 appear in the number 253?

253 divided by 7 equals 36 with a remainder of 1

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Step By Step Calculation

Step 1: Understand Division Terms

  • Dividend: The number being divided (253).
  • Divisor: The number dividing the dividend (7).
  • Quotient: The whole-number result of division.
  • Remainder: The amount left over after division.

Step 2: Set Up the Division

Calculate 253 ÷ 7 to determine how many times 7 fits fully into 253.

Step 3: Perform the Division

253 ÷ 7=36.142857142857

  • Whole-number quotient: 36 (the number of times 7 fits completely into 253).

Step 4: Verify the Quotient

Multiply the quotient by the divisor to check:

36 x 7 = 252

Step 5: Calculate the Remainder

Subtract this product from the original dividend:

253 - 252 = 1

  • Remainder: 1 (the amount left over).

Final Answer

253 ÷ 7 = 36 R 1

  • 7 fits into 253 exactly 36 times with a remainder of 1.