How to calculate 21 divided by 7 using long division?
Division is a fundamental arithmetic operation where we calculate how many times a number (divisor or denominator) can fit into another number (dividend or numerator). In this case, we are dividing 21 (the dividend) by 7 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 21 divided by 7 in decimal = 3
- 21 divided by 7 in fraction = 21/7
- 21 divided by 7 in percentage = 300%
What is the Quotient and Remainder of 21 divided by 7?
The quotient is calculated by dividing the dividend by the divisor, and the remainder is what's left over if the division doesn't result in a whole number. In this case, however, since 21 is a multiple of 7, there should be no remainder.
The quotient of 21 divided by 7 is 3, and the remainder is 0. Thus,
21 ÷ 7 = 3 R 0
When you divide Twenty One by Seven, the quotient is Three, and the remainder is Zero.
Let's calculate 21 divided by 7 using long division
Step 1:
7 | ⟌ | 2 | 1 |
Step 2:
0 | |||
7 | ⟌ | 2 | 1 |
- | 0 | ||
2 |
Step 3:
0 | |||
7 | ⟌ | 2 | 1 |
- | 0 | ||
2 | 1 |
Step 4:
0 | 3 | |||
7 | ⟌ | 2 | 1 | |
- | 0 | |||
2 | 1 | |||
- | 2 | 1 | ||
0 |
Verdict
The division of 21 by 7 results in a quotient of 3 and a remainder of 0, meaning 7 goes into 21 Three times with 0 left over. Understanding this division process is crucial in both basic arithmetic and real-life applications where division is used, such as in financial calculations, data analysis, and everyday problem-solving.