How to calculate 1200 divided by 16 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 16 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 1,200 divided by 16 in decimal = 75
- 1,200 divided by 16 in fraction = 1,200/16
- 1,200 divided by 16 in percentage = 7,500%
What is the Quotient and Remainder of 1,200 divided by 16?
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. In this case, however, since 1,200 is a multiple of 16, there should be no remainder.
The quotient of 1,200 divided by 16 is 75, and the remainder is 0. Thus,
1,200 ÷ 16 = 75 R 0
When you divide One Thousand Two Hundred by Sixteen, the quotient is Seventy Five, and the remainder is Zero.
Let's calculate 1,200 divided by 16 using long division
Step 1:
1 | 6 | ⟌ | 1 | 2 | 0 | 0 |
Step 2:
0 | ||||||
1 | 6 | ⟌ | 1 | 2 | 0 | 0 |
- | 0 | |||||
1 | 2 |
Step 3:
0 | 0 | |||||
1 | 6 | ⟌ | 1 | 2 | 0 | 0 |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 0 |
Step 4:
0 | 0 | 7 | ||||
1 | 6 | ⟌ | 1 | 2 | 0 | 0 |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 0 | ||||
- | 1 | 1 | 2 | |||
8 |
Step 5:
0 | 0 | 7 | ||||
1 | 6 | ⟌ | 1 | 2 | 0 | 0 |
- | 0 | |||||
1 | 2 | |||||
- | 0 | |||||
1 | 2 | 0 | ||||
- | 1 | 1 | 2 | |||
8 | 0 |
Step 6:
0 | 0 | 7 | 5 | ||||
1 | 6 | ⟌ | 1 | 2 | 0 | 0 | |
- | 0 | ||||||
1 | 2 | ||||||
- | 0 | ||||||
1 | 2 | 0 | |||||
- | 1 | 1 | 2 | ||||
8 | 0 | ||||||
- | 8 | 0 | |||||
0 |
Verdict
The division of 1,200 by 16 results in a quotient of 75 and a remainder of 0, meaning 16 goes into 1,200 Seventy Five times with 0 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.