How to calculate 952 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 952 (the dividend) by 3 (the divisor).
There are three distinct methods to convey the same information: in decimal, fractional, and percentage formats:
- 952 divided by 3 in decimal = 317.33333333333
- 952 divided by 3 in fraction = 952/3
- 952 divided by 3 in percentage = 31,733.333333333%
What is the Quotient and Remainder of 952 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.
The quotient of 952 divided by 3 is 317, and the remainder is 1. Thus,
952 ÷ 3 = 317 R 1
When you divide Nine Hundred And Fifty Two by Three, the quotient is Three Hundred And Seventeen, and the remainder is One.
Let's calculate 952 divided by 3 using long division
Step 1:
3 | ⟌ | 9 | 5 | 2 |
Step 2:
3 | ||||
3 | ⟌ | 9 | 5 | 2 |
- | 9 | |||
0 |
Step 3:
3 | ||||
3 | ⟌ | 9 | 5 | 2 |
- | 9 | |||
0 | 5 |
Step 4:
3 | 1 | |||
3 | ⟌ | 9 | 5 | 2 |
- | 9 | |||
0 | 5 | |||
- | 3 | |||
2 |
Step 5:
3 | 1 | |||
3 | ⟌ | 9 | 5 | 2 |
- | 9 | |||
0 | 5 | |||
- | 3 | |||
2 | 2 |
Step 6:
3 | 1 | 7 | |||
3 | ⟌ | 9 | 5 | 2 | |
- | 9 | ||||
0 | 5 | ||||
- | 3 | ||||
2 | 2 | ||||
- | 2 | 1 | |||
1 |
Verdict
The division of 952 by 3 results in a quotient of 317 and a remainder of 1, meaning 3 goes into 952 Three Hundred And Seventeen times with 1 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.