How to calculate 1500 divided by 49 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 1,500 (the dividend) by 49 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 1,500 divided by 49 in decimal = 30.612244897959
- 1,500 divided by 49 in fraction = 1,500/49
- 1,500 divided by 49 in percentage = 3,061.2244897959%
What is the Quotient and Remainder of 1,500 divided by 49?
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 1,500 divided by 49 is 30, and the remainder is 30. Thus,
1,500 ÷ 49 = 30 R 30
When you divide One Thousand Five Hundred by Forty Nine, the quotient is Thirty, and the remainder is Thirty.
Let's calculate 1,500 divided by 49 using long division
Step 1:
4 | 9 | ⟌ | 1 | 5 | 0 | 0 |
Step 2:
0 | ||||||
4 | 9 | ⟌ | 1 | 5 | 0 | 0 |
- | 0 | |||||
1 | 5 |
Step 3:
0 | 0 | |||||
4 | 9 | ⟌ | 1 | 5 | 0 | 0 |
- | 0 | |||||
1 | 5 | |||||
- | 0 | |||||
1 | 5 | 0 |
Step 4:
0 | 0 | 3 | ||||
4 | 9 | ⟌ | 1 | 5 | 0 | 0 |
- | 0 | |||||
1 | 5 | |||||
- | 0 | |||||
1 | 5 | 0 | ||||
- | 1 | 4 | 7 | |||
3 |
Step 5:
0 | 0 | 3 | ||||
4 | 9 | ⟌ | 1 | 5 | 0 | 0 |
- | 0 | |||||
1 | 5 | |||||
- | 0 | |||||
1 | 5 | 0 | ||||
- | 1 | 4 | 7 | |||
3 | 0 |
Step 6:
0 | 0 | 3 | 0 | ||||
4 | 9 | ⟌ | 1 | 5 | 0 | 0 | |
- | 0 | ||||||
1 | 5 | ||||||
- | 0 | ||||||
1 | 5 | 0 | |||||
- | 1 | 4 | 7 | ||||
3 | 0 | ||||||
- | 0 | ||||||
3 | 0 |
Verdict
The division of 1,500 by 49 results in a quotient of 30 and a remainder of 30, meaning 49 goes into 1,500 Thirty times with 30 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.