1,200 ÷ 11
=
109.09090909091
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 1,200 (the dividend) by 11 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 1,200 divided by 11 in decimal = 109.09090909091
- 1,200 divided by 11 in fraction = 1,200/11
- 1,200 divided by 11 in percentage = 10,909.090909091%
What is the Quotient and Remainder of 1,200 divided by 11?
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 1,200 divided by 11 is 109, and the remainder is 1. Thus,
1,200 ÷ 11 = 109 R 1
When you divide One Thousand Two Hundred by Eleven, the quotient is One Hundred And Nine, and the remainder is One.
Let's calculate 1,200 divided by 11 using long division
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
| 0 | 1 | 0 |
1 | 1 | ⟌ | 1 | 2 | 0 | 0 |
| - | 0 |
| |
| 1 | 2 |
| - | 1 | 1 |
| |
| 1 | 0 |
| - | | 0 |
| |
| 1 | 0 |
Step 6:
| 0 | 1 | 0 |
1 | 1 | ⟌ | 1 | 2 | 0 | 0 |
| - | 0 |
| |
| 1 | 2 |
| - | 1 | 1 |
| |
| 1 | 0 |
| - | | 0 |
| |
| 1 | 0 | 0 |
Step 7:
| 0 | 1 | 0 | 9 |
1 | 1 | ⟌ | 1 | 2 | 0 | 0 |
| - | 0 |
| |
| 1 | 2 |
| - | 1 | 1 |
| |
| 1 | 0 |
| - | | 0 |
| |
| 1 | 0 | 0 |
| - | | 9 | 9 |
| |
| 1 |
Verdict
The division of 1,200 by 11 results in a quotient of 109 and a remainder of 1, meaning 11 goes into 1,200 One Hundred And Nine times with 1 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.