How to calculate 1000 divided by 26 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 26 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 1,000 divided by 26 in decimal = 38.461538461538
- 1,000 divided by 26 in fraction = 1,000/26
- 1,000 divided by 26 in percentage = 3,846.1538461538%
What is the Quotient and Remainder of 1,000 divided by 26?
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 26 is 38, and the remainder is 12. Thus,
1,000 ÷ 26 = 38 R 12
When you divide One Thousand by Twenty Six, the quotient is Thirty Eight, and the remainder is Twelve.
Let's calculate 1,000 divided by 26 using long division
Step 1:
2 | 6 | ⟌ | 1 | 0 | 0 | 0 |
Step 2:
0 | ||||||
2 | 6 | ⟌ | 1 | 0 | 0 | 0 |
- | 0 | |||||
1 | 0 |
Step 3:
0 | 0 | |||||
2 | 6 | ⟌ | 1 | 0 | 0 | 0 |
- | 0 | |||||
1 | 0 | |||||
- | 0 | |||||
1 | 0 | 0 |
Step 4:
0 | 0 | 3 | ||||
2 | 6 | ⟌ | 1 | 0 | 0 | 0 |
- | 0 | |||||
1 | 0 | |||||
- | 0 | |||||
1 | 0 | 0 | ||||
- | 7 | 8 | ||||
2 | 2 |
Step 5:
0 | 0 | 3 | ||||
2 | 6 | ⟌ | 1 | 0 | 0 | 0 |
- | 0 | |||||
1 | 0 | |||||
- | 0 | |||||
1 | 0 | 0 | ||||
- | 7 | 8 | ||||
2 | 2 | 0 |
Step 6:
0 | 0 | 3 | 8 | ||||
2 | 6 | ⟌ | 1 | 0 | 0 | 0 | |
- | 0 | ||||||
1 | 0 | ||||||
- | 0 | ||||||
1 | 0 | 0 | |||||
- | 7 | 8 | |||||
2 | 2 | 0 | |||||
- | 2 | 0 | 8 | ||||
1 | 2 |
Verdict
The division of 1,000 by 26 results in a quotient of 38 and a remainder of 12, meaning 26 goes into 1,000 Thirty Eight times with 12 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.