How to calculate 1000 divided by 130 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 1,000 (the dividend) by 130 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 1,000 divided by 130 in decimal = 7.6923076923077
- 1,000 divided by 130 in fraction = 1,000/130
- 1,000 divided by 130 in percentage = 769.23076923077%
What is the Quotient and Remainder of 1,000 divided by 130?
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 1,000 divided by 130 is 7, and the remainder is 90. Thus,
1,000 ÷ 130 = 7 R 90
When you divide One Thousand by One Hundred And Thirty, the quotient is Seven, and the remainder is Ninety.
Let's calculate 1,000 divided by 130 using long division
Step 1:
1 | 3 | 0 | ⟌ | 1 | 0 | 0 | 0 |
Step 2:
0 | |||||||
1 | 3 | 0 | ⟌ | 1 | 0 | 0 | 0 |
- | 0 | ||||||
1 | 0 |
Step 3:
0 | 0 | ||||||
1 | 3 | 0 | ⟌ | 1 | 0 | 0 | 0 |
- | 0 | ||||||
1 | 0 | ||||||
- | 0 | ||||||
1 | 0 | 0 |
Step 4:
0 | 0 | 0 | |||||
1 | 3 | 0 | ⟌ | 1 | 0 | 0 | 0 |
- | 0 | ||||||
1 | 0 | ||||||
- | 0 | ||||||
1 | 0 | 0 | |||||
- | 0 | ||||||
1 | 0 | 0 |
Step 5:
0 | 0 | 0 | |||||
1 | 3 | 0 | ⟌ | 1 | 0 | 0 | 0 |
- | 0 | ||||||
1 | 0 | ||||||
- | 0 | ||||||
1 | 0 | 0 | |||||
- | 0 | ||||||
1 | 0 | 0 | 0 |
Step 6:
0 | 0 | 0 | 7 | |||||
1 | 3 | 0 | ⟌ | 1 | 0 | 0 | 0 | |
- | 0 | |||||||
1 | 0 | |||||||
- | 0 | |||||||
1 | 0 | 0 | ||||||
- | 0 | |||||||
1 | 0 | 0 | 0 | |||||
- | 9 | 1 | 0 | |||||
9 | 0 |
Verdict
The division of 1,000 by 130 results in a quotient of 7 and a remainder of 90, meaning 130 goes into 1,000 Seven times with 90 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.