How to calculate 1260 divided by 42 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 1,260 (the dividend) by 42 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 1,260 divided by 42 in decimal = 30
- 1,260 divided by 42 in fraction = 1,260/42
- 1,260 divided by 42 in percentage = 3,000%
What is the Quotient and Remainder of 1,260 divided by 42?
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 1,260 is a multiple of 42, there should be no remainder.
The quotient of 1,260 divided by 42 is 30, and the remainder is 0. Thus,
1,260 ÷ 42 = 30 R 0
When you divide One Thousand Two Hundred And Sixty by Forty Two, the quotient is Thirty, and the remainder is Zero.
Let's calculate 1,260 divided by 42 using long division
Step 1:
4 | 2 | ⟌ | 1 | 2 | 6 | 0 |
Step 2:
0 | ||||||
4 | 2 | ⟌ | 1 | 2 | 6 | 0 |
- | 0 | |||||
1 | 2 |
Step 3:
0 | 0 | |||||
4 | 2 | ⟌ | 1 | 2 | 6 | 0 |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 6 |
Step 4:
0 | 0 | 3 | ||||
4 | 2 | ⟌ | 1 | 2 | 6 | 0 |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 6 | ||||
- | 1 | 2 | 6 | |||
0 |
Step 5:
0 | 0 | 3 | ||||
4 | 2 | ⟌ | 1 | 2 | 6 | 0 |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 6 | ||||
- | 1 | 2 | 6 | |||
0 | 0 |
Step 6:
0 | 0 | 3 | 0 | ||||
4 | 2 | ⟌ | 1 | 2 | 6 | 0 | |
- | 0 | ||||||
1 | 2 | ||||||
- | 0 | ||||||
1 | 2 | 6 | |||||
- | 1 | 2 | 6 | ||||
0 | 0 | ||||||
- | 0 | ||||||
0 |
Verdict
The division of 1,260 by 42 results in a quotient of 30 and a remainder of 0, meaning 42 goes into 1,260 Thirty 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.