How to calculate 1440 divided by 90 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 1,440 (the dividend) by 90 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 1,440 divided by 90 in decimal = 16
- 1,440 divided by 90 in fraction = 1,440/90
- 1,440 divided by 90 in percentage = 1,600%
What is the Quotient and Remainder of 1,440 divided by 90?
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 1,440 is a multiple of 90, there should be no remainder.
The quotient of 1,440 divided by 90 is 16, and the remainder is 0. Thus,
1,440 ÷ 90 = 16 R 0
When you divide One Thousand Four Hundred And Forty by Ninety, the quotient is Sixteen, and the remainder is Zero.
Let's calculate 1,440 divided by 90 using long division
Step 1:
9 | 0 | ⟌ | 1 | 4 | 4 | 0 |
Step 2:
0 | ||||||
9 | 0 | ⟌ | 1 | 4 | 4 | 0 |
- | 0 | |||||
1 | 4 |
Step 3:
0 | 0 | |||||
9 | 0 | ⟌ | 1 | 4 | 4 | 0 |
- | 0 | |||||
1 | 4 | |||||
- | 0 | |||||
1 | 4 | 4 |
Step 4:
0 | 0 | 1 | ||||
9 | 0 | ⟌ | 1 | 4 | 4 | 0 |
- | 0 | |||||
1 | 4 | |||||
- | 0 | |||||
1 | 4 | 4 | ||||
- | 9 | 0 | ||||
5 | 4 |
Step 5:
0 | 0 | 1 | ||||
9 | 0 | ⟌ | 1 | 4 | 4 | 0 |
- | 0 | |||||
1 | 4 | |||||
- | 0 | |||||
1 | 4 | 4 | ||||
- | 9 | 0 | ||||
5 | 4 | 0 |
Step 6:
0 | 0 | 1 | 6 | ||||
9 | 0 | ⟌ | 1 | 4 | 4 | 0 | |
- | 0 | ||||||
1 | 4 | ||||||
- | 0 | ||||||
1 | 4 | 4 | |||||
- | 9 | 0 | |||||
5 | 4 | 0 | |||||
- | 5 | 4 | 0 | ||||
0 |
Verdict
The division of 1,440 by 90 results in a quotient of 16 and a remainder of 0, meaning 90 goes into 1,440 Sixteen 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.