How to calculate 870 divided by 87 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 870 (the dividend) by 87 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 870 divided by 87 in decimal = 10
- 870 divided by 87 in fraction = 870/87
- 870 divided by 87 in percentage = 1,000%
What is the Quotient and Remainder of 870 divided by 87?
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 870 is a multiple of 87, there should be no remainder.
The quotient of 870 divided by 87 is 10, and the remainder is 0. Thus,
870 ÷ 87 = 10 R 0
When you divide Eight Hundred And Seventy by Eighty Seven, the quotient is Ten, and the remainder is Zero.
Let's calculate 870 divided by 87 using long division
Step 1:
8 | 7 | ⟌ | 8 | 7 | 0 |
Step 2:
0 | |||||
8 | 7 | ⟌ | 8 | 7 | 0 |
- | 0 | ||||
8 | 7 |
Step 3:
0 | 1 | ||||
8 | 7 | ⟌ | 8 | 7 | 0 |
- | 0 | ||||
8 | 7 | ||||
- | 8 | 7 | |||
0 |
Step 4:
0 | 1 | ||||
8 | 7 | ⟌ | 8 | 7 | 0 |
- | 0 | ||||
8 | 7 | ||||
- | 8 | 7 | |||
0 | 0 |
Step 5:
0 | 1 | 0 | ||||
8 | 7 | ⟌ | 8 | 7 | 0 | |
- | 0 | |||||
8 | 7 | |||||
- | 8 | 7 | ||||
0 | 0 | |||||
- | 0 | |||||
0 |
Verdict
The division of 870 by 87 results in a quotient of 10 and a remainder of 0, meaning 87 goes into 870 Ten 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.