How to calculate 105 divided by 21 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 105 (the dividend) by 21 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 105 divided by 21 in decimal = 5
- 105 divided by 21 in fraction = 105/21
- 105 divided by 21 in percentage = 500%
What is the Quotient and Remainder of 105 divided by 21?
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 105 is a multiple of 21, there should be no remainder.
The quotient of 105 divided by 21 is 5, and the remainder is 0. Thus,
105 ÷ 21 = 5 R 0
When you divide One Hundred And Five by Twenty One, the quotient is Five, and the remainder is Zero.
Let's calculate 105 divided by 21 using long division
Step 1:
2 | 1 | ⟌ | 1 | 0 | 5 |
Step 2:
0 | |||||
2 | 1 | ⟌ | 1 | 0 | 5 |
- | 0 | ||||
1 | 0 |
Step 3:
0 | 0 | ||||
2 | 1 | ⟌ | 1 | 0 | 5 |
- | 0 | ||||
1 | 0 | ||||
- | 0 | ||||
1 | 0 |
Step 4:
0 | 0 | ||||
2 | 1 | ⟌ | 1 | 0 | 5 |
- | 0 | ||||
1 | 0 | ||||
- | 0 | ||||
1 | 0 | 5 |
Step 5:
0 | 0 | 5 | ||||
2 | 1 | ⟌ | 1 | 0 | 5 | |
- | 0 | |||||
1 | 0 | |||||
- | 0 | |||||
1 | 0 | 5 | ||||
- | 1 | 0 | 5 | |||
0 |
Verdict
The division of 105 by 21 results in a quotient of 5 and a remainder of 0, meaning 21 goes into 105 Five 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.