How to calculate 420 divided by 3 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 420 (the dividend) by 3 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 420 divided by 3 in decimal = 140
- 420 divided by 3 in fraction = 420/3
- 420 divided by 3 in percentage = 14,000%
What is the Quotient and Remainder of 420 divided by 3?
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 420 is a multiple of 3, there should be no remainder.
The quotient of 420 divided by 3 is 140, and the remainder is 0. Thus,
420 ÷ 3 = 140 R 0
When you divide Four Hundred And Twenty by Three, the quotient is One Hundred And Forty, and the remainder is Zero.
Let's calculate 420 divided by 3 using long division
Step 1:
3 | ⟌ | 4 | 2 | 0 |
Step 2:
1 | ||||
3 | ⟌ | 4 | 2 | 0 |
- | 3 | |||
1 |
Step 3:
1 | ||||
3 | ⟌ | 4 | 2 | 0 |
- | 3 | |||
1 | 2 |
Step 4:
1 | 4 | |||
3 | ⟌ | 4 | 2 | 0 |
- | 3 | |||
1 | 2 | |||
- | 1 | 2 | ||
0 |
Step 5:
1 | 4 | |||
3 | ⟌ | 4 | 2 | 0 |
- | 3 | |||
1 | 2 | |||
- | 1 | 2 | ||
0 | 0 |
Step 6:
1 | 4 | 0 | |||
3 | ⟌ | 4 | 2 | 0 | |
- | 3 | ||||
1 | 2 | ||||
- | 1 | 2 | |||
0 | 0 | ||||
- | 0 | ||||
0 |
Verdict
The division of 420 by 3 results in a quotient of 140 and a remainder of 0, meaning 3 goes into 420 One Hundred And Forty 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.