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 8,400 (the dividend) by 20 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 8,400 divided by 20 in decimal = 420
- 8,400 divided by 20 in fraction = 8,400/20
- 8,400 divided by 20 in percentage = 42,000%
What is the Quotient and Remainder of 8,400 divided by 20?
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 8,400 is a multiple of 20, there should be no remainder.
The quotient of 8,400 divided by 20 is 420, and the remainder is 0. Thus,
8,400 ÷ 20 = 420 R 0
When you divide Eight Thousand Four Hundred by Twenty, the quotient is Four Hundred And Twenty, and the remainder is Zero.
Let's calculate 8,400 divided by 20 using long division
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
| 0 | 4 | 2 |
2 | 0 | ⟌ | 8 | 4 | 0 | 0 |
| - | 0 |
| |
| 8 | 4 |
| - | 8 | 0 |
| |
| 4 | 0 |
| - | 4 | 0 |
| |
| 0 |
Step 6:
| 0 | 4 | 2 |
2 | 0 | ⟌ | 8 | 4 | 0 | 0 |
| - | 0 |
| |
| 8 | 4 |
| - | 8 | 0 |
| |
| 4 | 0 |
| - | 4 | 0 |
| |
| 0 | 0 |
Step 7:
| 0 | 4 | 2 | 0 |
2 | 0 | ⟌ | 8 | 4 | 0 | 0 |
| - | 0 |
| |
| 8 | 4 |
| - | 8 | 0 |
| |
| 4 | 0 |
| - | 4 | 0 |
| |
| 0 | 0 |
| - | | 0 |
| |
| 0 |
Verdict
The division of 8,400 by 20 results in a quotient of 420 and a remainder of 0, meaning 20 goes into 8,400 Four Hundred And Twenty 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.