How many times does 21 divide into 175?
How many times does the digit 21 appear in the number 175?
175 divided by 21 equals 8 with a remainder of 7
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Step By Step Calculation
Step 1: Understand Division Terms
- Dividend: The number being divided (175).
- Divisor: The number dividing the dividend (21).
- Quotient: The whole-number result of division.
- Remainder: The amount left over after division.
Step 2: Set Up the Division
Calculate 175 ÷ 21 to determine how many times 21 fits fully into 175.
Step 3: Perform the Division
175 ÷ 21=8.3333333333333
- Whole-number quotient: 8 (the number of times 21 fits completely into 175).
Step 4: Verify the Quotient
Multiply the quotient by the divisor to check:
8 x 21 = 168
Step 5: Calculate the Remainder
Subtract this product from the original dividend:
175 - 168 = 7
- Remainder: 7 (the amount left over).
Final Answer
175 ÷ 21 = 8 R 7
- 21 fits into 175 exactly 8 times with a remainder of 7.