How to calculate 264 divided by 64 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 264 (the dividend) by 64 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 264 divided by 64 in decimal = 4.125
- 264 divided by 64 in fraction = 264/64
- 264 divided by 64 in percentage = 412.5%
What is the Quotient and Remainder of 264 divided by 64?
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 264 divided by 64 is 4, and the remainder is 8. Thus,
264 ÷ 64 = 4 R 8
When you divide Two Hundred And Sixty Four by Sixty Four, the quotient is Four, and the remainder is Eight.
Let's calculate 264 divided by 64 using long division
Step 1:
6 | 4 | ⟌ | 2 | 6 | 4 |
Step 2:
0 | |||||
6 | 4 | ⟌ | 2 | 6 | 4 |
- | 0 | ||||
2 | 6 |
Step 3:
0 | 0 | ||||
6 | 4 | ⟌ | 2 | 6 | 4 |
- | 0 | ||||
2 | 6 | ||||
- | 0 | ||||
2 | 6 |
Step 4:
0 | 0 | ||||
6 | 4 | ⟌ | 2 | 6 | 4 |
- | 0 | ||||
2 | 6 | ||||
- | 0 | ||||
2 | 6 | 4 |
Step 5:
0 | 0 | 4 | ||||
6 | 4 | ⟌ | 2 | 6 | 4 | |
- | 0 | |||||
2 | 6 | |||||
- | 0 | |||||
2 | 6 | 4 | ||||
- | 2 | 5 | 6 | |||
8 |
Verdict
The division of 264 by 64 results in a quotient of 4 and a remainder of 8, meaning 64 goes into 264 Four times with 8 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.