How to calculate 210 divided by 30 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 210 (the dividend) by 30 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 210 divided by 30 in decimal = 7
- 210 divided by 30 in fraction = 210/30
- 210 divided by 30 in percentage = 700%
What is the Quotient and Remainder of 210 divided by 30?
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 210 is a multiple of 30, there should be no remainder.
The quotient of 210 divided by 30 is 7, and the remainder is 0. Thus,
210 ÷ 30 = 7 R 0
When you divide Two Hundred And Ten by Thirty, the quotient is Seven, and the remainder is Zero.
Let's calculate 210 divided by 30 using long division
Step 1:
3 | 0 | ⟌ | 2 | 1 | 0 |
Step 2:
0 | |||||
3 | 0 | ⟌ | 2 | 1 | 0 |
- | 0 | ||||
2 | 1 |
Step 3:
0 | 0 | ||||
3 | 0 | ⟌ | 2 | 1 | 0 |
- | 0 | ||||
2 | 1 | ||||
- | 0 | ||||
2 | 1 |
Step 4:
0 | 0 | ||||
3 | 0 | ⟌ | 2 | 1 | 0 |
- | 0 | ||||
2 | 1 | ||||
- | 0 | ||||
2 | 1 | 0 |
Step 5:
0 | 0 | 7 | ||||
3 | 0 | ⟌ | 2 | 1 | 0 | |
- | 0 | |||||
2 | 1 | |||||
- | 0 | |||||
2 | 1 | 0 | ||||
- | 2 | 1 | 0 | |||
0 |
Verdict
The division of 210 by 30 results in a quotient of 7 and a remainder of 0, meaning 30 goes into 210 Seven 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.