How to calculate 3200 divided by 75 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 3,200 (the dividend) by 75 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 3,200 divided by 75 in decimal = 42.666666666667
- 3,200 divided by 75 in fraction = 3,200/75
- 3,200 divided by 75 in percentage = 4,266.6666666667%
What is the Quotient and Remainder of 3,200 divided by 75?
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 3,200 divided by 75 is 42, and the remainder is 50. Thus,
3,200 ÷ 75 = 42 R 50
When you divide Three Thousand Two Hundred by Seventy Five, the quotient is Forty Two, and the remainder is Fifty.
Let's calculate 3,200 divided by 75 using long division
Step 1:
7 | 5 | ⟌ | 3 | 2 | 0 | 0 |
Step 2:
0 | ||||||
7 | 5 | ⟌ | 3 | 2 | 0 | 0 |
- | 0 | |||||
3 | 2 |
Step 3:
0 | 0 | |||||
7 | 5 | ⟌ | 3 | 2 | 0 | 0 |
- | 0 | |||||
3 | 2 | |||||
- | 0 | |||||
3 | 2 | 0 |
Step 4:
0 | 0 | 4 | ||||
7 | 5 | ⟌ | 3 | 2 | 0 | 0 |
- | 0 | |||||
3 | 2 | |||||
- | 0 | |||||
3 | 2 | 0 | ||||
- | 3 | 0 | 0 | |||
2 | 0 |
Step 5:
0 | 0 | 4 | ||||
7 | 5 | ⟌ | 3 | 2 | 0 | 0 |
- | 0 | |||||
3 | 2 | |||||
- | 0 | |||||
3 | 2 | 0 | ||||
- | 3 | 0 | 0 | |||
2 | 0 | 0 |
Step 6:
0 | 0 | 4 | 2 | ||||
7 | 5 | ⟌ | 3 | 2 | 0 | 0 | |
- | 0 | ||||||
3 | 2 | ||||||
- | 0 | ||||||
3 | 2 | 0 | |||||
- | 3 | 0 | 0 | ||||
2 | 0 | 0 | |||||
- | 1 | 5 | 0 | ||||
5 | 0 |
Verdict
The division of 3,200 by 75 results in a quotient of 42 and a remainder of 50, meaning 75 goes into 3,200 Forty Two times with 50 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.