How to calculate 1200 divided by 71 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 1,200 (the dividend) by 71 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 1,200 divided by 71 in decimal = 16.901408450704
- 1,200 divided by 71 in fraction = 1,200/71
- 1,200 divided by 71 in percentage = 1,690.1408450704%
What is the Quotient and Remainder of 1,200 divided by 71?
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 71 is 16, and the remainder is 64. Thus,
1,200 ÷ 71 = 16 R 64
When you divide One Thousand Two Hundred by Seventy One, the quotient is Sixteen, and the remainder is Sixty Four.
Let's calculate 1,200 divided by 71 using long division
Step 1:
7 | 1 | ⟌ | 1 | 2 | 0 | 0 |
Step 2:
0 | ||||||
7 | 1 | ⟌ | 1 | 2 | 0 | 0 |
- | 0 | |||||
1 | 2 |
Step 3:
0 | 0 | |||||
7 | 1 | ⟌ | 1 | 2 | 0 | 0 |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 0 |
Step 4:
0 | 0 | 1 | ||||
7 | 1 | ⟌ | 1 | 2 | 0 | 0 |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 0 | ||||
- | 7 | 1 | ||||
4 | 9 |
Step 5:
0 | 0 | 1 | ||||
7 | 1 | ⟌ | 1 | 2 | 0 | 0 |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 0 | ||||
- | 7 | 1 | ||||
4 | 9 | 0 |
Step 6:
0 | 0 | 1 | 6 | ||||
7 | 1 | ⟌ | 1 | 2 | 0 | 0 | |
- | 0 | ||||||
1 | 2 | ||||||
- | 0 | ||||||
1 | 2 | 0 | |||||
- | 7 | 1 | |||||
4 | 9 | 0 | |||||
- | 4 | 2 | 6 | ||||
6 | 4 |
Verdict
The division of 1,200 by 71 results in a quotient of 16 and a remainder of 64, meaning 71 goes into 1,200 Sixteen times with 64 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.