How to calculate 420 divided by 40 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 40 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 420 divided by 40 in decimal = 10.5
- 420 divided by 40 in fraction = 420/40
- 420 divided by 40 in percentage = 1,050%
What is the Quotient and Remainder of 420 divided by 40?
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.
The quotient of 420 divided by 40 is 10, and the remainder is 20. Thus,
420 ÷ 40 = 10 R 20
When you divide Four Hundred And Twenty by Forty, the quotient is Ten, and the remainder is Twenty.
Let's calculate 420 divided by 40 using long division
Step 1:
4 | 0 | ⟌ | 4 | 2 | 0 |
Step 2:
0 | |||||
4 | 0 | ⟌ | 4 | 2 | 0 |
- | 0 | ||||
4 | 2 |
Step 3:
0 | 1 | ||||
4 | 0 | ⟌ | 4 | 2 | 0 |
- | 0 | ||||
4 | 2 | ||||
- | 4 | 0 | |||
2 |
Step 4:
0 | 1 | ||||
4 | 0 | ⟌ | 4 | 2 | 0 |
- | 0 | ||||
4 | 2 | ||||
- | 4 | 0 | |||
2 | 0 |
Step 5:
0 | 1 | 0 | ||||
4 | 0 | ⟌ | 4 | 2 | 0 | |
- | 0 | |||||
4 | 2 | |||||
- | 4 | 0 | ||||
2 | 0 | |||||
- | 0 | |||||
2 | 0 |
Verdict
The division of 420 by 40 results in a quotient of 10 and a remainder of 20, meaning 40 goes into 420 Ten times with 20 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.