How to calculate 510 divided by 3 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 510 (the dividend) by 3 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 510 divided by 3 in decimal = 170
- 510 divided by 3 in fraction = 510/3
- 510 divided by 3 in percentage = 17,000%
What is the Quotient and Remainder of 510 divided by 3?
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 510 is a multiple of 3, there should be no remainder.
The quotient of 510 divided by 3 is 170, and the remainder is 0. Thus,
510 ÷ 3 = 170 R 0
When you divide Five Hundred And Ten by Three, the quotient is One Hundred And Seventy, and the remainder is Zero.
Let's calculate 510 divided by 3 using long division
Step 1:
3 | ⟌ | 5 | 1 | 0 |
Step 2:
1 | ||||
3 | ⟌ | 5 | 1 | 0 |
- | 3 | |||
2 |
Step 3:
1 | ||||
3 | ⟌ | 5 | 1 | 0 |
- | 3 | |||
2 | 1 |
Step 4:
1 | 7 | |||
3 | ⟌ | 5 | 1 | 0 |
- | 3 | |||
2 | 1 | |||
- | 2 | 1 | ||
0 |
Step 5:
1 | 7 | |||
3 | ⟌ | 5 | 1 | 0 |
- | 3 | |||
2 | 1 | |||
- | 2 | 1 | ||
0 | 0 |
Step 6:
1 | 7 | 0 | |||
3 | ⟌ | 5 | 1 | 0 | |
- | 3 | ||||
2 | 1 | ||||
- | 2 | 1 | |||
0 | 0 | ||||
- | 0 | ||||
0 |
Verdict
The division of 510 by 3 results in a quotient of 170 and a remainder of 0, meaning 3 goes into 510 One Hundred And Seventy 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.