How many times does 17 divide into 105?
How many times does the digit 17 appear in the number 105?
105 divided by 17 equals 6 with a remainder of 3
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Step By Step Calculation
Step 1: Understand Division Terms
- Dividend: The number being divided (105).
- Divisor: The number dividing the dividend (17).
- Quotient: The whole-number result of division.
- Remainder: The amount left over after division.
Step 2: Set Up the Division
Calculate 105 ÷ 17 to determine how many times 17 fits fully into 105.
Step 3: Perform the Division
105 ÷ 17=6.1764705882353
- Whole-number quotient: 6 (the number of times 17 fits completely into 105).
Step 4: Verify the Quotient
Multiply the quotient by the divisor to check:
6 x 17 = 102
Step 5: Calculate the Remainder
Subtract this product from the original dividend:
105 - 102 = 3
- Remainder: 3 (the amount left over).
Final Answer
105 ÷ 17 = 6 R 3
- 17 fits into 105 exactly 6 times with a remainder of 3.