How to calculate 1300 divided by 18 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 1,300 (the dividend) by 18 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 1,300 divided by 18 in decimal = 72.222222222222
- 1,300 divided by 18 in fraction = 1,300/18
- 1,300 divided by 18 in percentage = 7,222.2222222222%
What is the Quotient and Remainder of 1,300 divided by 18?
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 1,300 divided by 18 is 72, and the remainder is 4. Thus,
1,300 ÷ 18 = 72 R 4
When you divide One Thousand Three Hundred by Eighteen, the quotient is Seventy Two, and the remainder is Four.
Let's calculate 1,300 divided by 18 using long division
Step 1:
1 | 8 | ⟌ | 1 | 3 | 0 | 0 |
Step 2:
0 | ||||||
1 | 8 | ⟌ | 1 | 3 | 0 | 0 |
- | 0 | |||||
1 | 3 |
Step 3:
0 | 0 | |||||
1 | 8 | ⟌ | 1 | 3 | 0 | 0 |
- | 0 | |||||
1 | 3 | |||||
- | 0 | |||||
1 | 3 | 0 |
Step 4:
0 | 0 | 7 | ||||
1 | 8 | ⟌ | 1 | 3 | 0 | 0 |
- | 0 | |||||
1 | 3 | |||||
- | 0 | |||||
1 | 3 | 0 | ||||
- | 1 | 2 | 6 | |||
4 |
Step 5:
0 | 0 | 7 | ||||
1 | 8 | ⟌ | 1 | 3 | 0 | 0 |
- | 0 | |||||
1 | 3 | |||||
- | 0 | |||||
1 | 3 | 0 | ||||
- | 1 | 2 | 6 | |||
4 | 0 |
Step 6:
0 | 0 | 7 | 2 | ||||
1 | 8 | ⟌ | 1 | 3 | 0 | 0 | |
- | 0 | ||||||
1 | 3 | ||||||
- | 0 | ||||||
1 | 3 | 0 | |||||
- | 1 | 2 | 6 | ||||
4 | 0 | ||||||
- | 3 | 6 | |||||
4 |
Verdict
The division of 1,300 by 18 results in a quotient of 72 and a remainder of 4, meaning 18 goes into 1,300 Seventy Two times with 4 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.