How to calculate 840 divided by 70 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 840 (the dividend) by 70 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 840 divided by 70 in decimal = 12
- 840 divided by 70 in fraction = 840/70
- 840 divided by 70 in percentage = 1,200%
What is the Quotient and Remainder of 840 divided by 70?
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 840 is a multiple of 70, there should be no remainder.
The quotient of 840 divided by 70 is 12, and the remainder is 0. Thus,
840 ÷ 70 = 12 R 0
When you divide Eight Hundred And Forty by Seventy, the quotient is Twelve, and the remainder is Zero.
Let's calculate 840 divided by 70 using long division
Step 1:
7 | 0 | ⟌ | 8 | 4 | 0 |
Step 2:
0 | |||||
7 | 0 | ⟌ | 8 | 4 | 0 |
- | 0 | ||||
8 | 4 |
Step 3:
0 | 1 | ||||
7 | 0 | ⟌ | 8 | 4 | 0 |
- | 0 | ||||
8 | 4 | ||||
- | 7 | 0 | |||
1 | 4 |
Step 4:
0 | 1 | ||||
7 | 0 | ⟌ | 8 | 4 | 0 |
- | 0 | ||||
8 | 4 | ||||
- | 7 | 0 | |||
1 | 4 | 0 |
Step 5:
0 | 1 | 2 | ||||
7 | 0 | ⟌ | 8 | 4 | 0 | |
- | 0 | |||||
8 | 4 | |||||
- | 7 | 0 | ||||
1 | 4 | 0 | ||||
- | 1 | 4 | 0 | |||
0 |
Verdict
The division of 840 by 70 results in a quotient of 12 and a remainder of 0, meaning 70 goes into 840 Twelve 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.