How to calculate 750 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 750 (the dividend) by 64 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 750 divided by 64 in decimal = 11.71875
- 750 divided by 64 in fraction = 750/64
- 750 divided by 64 in percentage = 1,171.875%
What is the Quotient and Remainder of 750 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 750 divided by 64 is 11, and the remainder is 46. Thus,
750 ÷ 64 = 11 R 46
When you divide Seven Hundred And Fifty by Sixty Four, the quotient is Eleven, and the remainder is Forty Six.
Let's calculate 750 divided by 64 using long division
Step 1:
6 | 4 | ⟌ | 7 | 5 | 0 |
Step 2:
0 | |||||
6 | 4 | ⟌ | 7 | 5 | 0 |
- | 0 | ||||
7 | 5 |
Step 3:
0 | 1 | ||||
6 | 4 | ⟌ | 7 | 5 | 0 |
- | 0 | ||||
7 | 5 | ||||
- | 6 | 4 | |||
1 | 1 |
Step 4:
0 | 1 | ||||
6 | 4 | ⟌ | 7 | 5 | 0 |
- | 0 | ||||
7 | 5 | ||||
- | 6 | 4 | |||
1 | 1 | 0 |
Step 5:
0 | 1 | 1 | ||||
6 | 4 | ⟌ | 7 | 5 | 0 | |
- | 0 | |||||
7 | 5 | |||||
- | 6 | 4 | ||||
1 | 1 | 0 | ||||
- | 6 | 4 | ||||
4 | 6 |
Verdict
The division of 750 by 64 results in a quotient of 11 and a remainder of 46, meaning 64 goes into 750 Eleven times with 46 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.