How to calculate 667 divided by 9 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 667 (the dividend) by 9 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 667 divided by 9 in decimal = 74.111111111111
- 667 divided by 9 in fraction = 667/9
- 667 divided by 9 in percentage = 7,411.1111111111%
What is the Quotient and Remainder of 667 divided by 9?
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 667 divided by 9 is 74, and the remainder is 1. Thus,
667 ÷ 9 = 74 R 1
When you divide Six Hundred And Sixty Seven by Nine, the quotient is Seventy Four, and the remainder is One.
Let's calculate 667 divided by 9 using long division
Step 1:
9 | ⟌ | 6 | 6 | 7 |
Step 2:
0 | ||||
9 | ⟌ | 6 | 6 | 7 |
- | 0 | |||
6 | 6 |
Step 3:
0 | 7 | |||
9 | ⟌ | 6 | 6 | 7 |
- | 0 | |||
6 | 6 | |||
- | 6 | 3 | ||
3 |
Step 4:
0 | 7 | |||
9 | ⟌ | 6 | 6 | 7 |
- | 0 | |||
6 | 6 | |||
- | 6 | 3 | ||
3 | 7 |
Step 5:
0 | 7 | 4 | |||
9 | ⟌ | 6 | 6 | 7 | |
- | 0 | ||||
6 | 6 | ||||
- | 6 | 3 | |||
3 | 7 | ||||
- | 3 | 6 | |||
1 |
Verdict
The division of 667 by 9 results in a quotient of 74 and a remainder of 1, meaning 9 goes into 667 Seventy Four 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.