1000 divided by 31
Understand the Problem
The question is asking to perform a division operation where 1000 is divided by 31. This can be solved by dividing the two numbers to find the quotient.
Answer
$32 \frac{8}{31}$ or approximately $32.26$
Answer for screen readers
The result of dividing 1000 by 31 gives a quotient of approximately 32 with a remainder of 8, or expressed as a mixed number, $32 \frac{8}{31}$.
Steps to Solve
- Set up the division problem
We need to divide 1000 by 31. This can be written as:
$$ \text{Quotient} = \frac{1000}{31} $$
- Perform the division
Now we will calculate the quotient:
$$ 1000 \div 31 \approx 32.258 $$
- Determine the integer part and the remainder
The integer part of the quotient is 32, and to find the remainder, we can calculate:
$$ \text{Remainder} = 1000 - (31 \times 32) $$
Calculating this gives us:
$$ \text{Remainder} = 1000 - 992 = 8 $$
The result of dividing 1000 by 31 gives a quotient of approximately 32 with a remainder of 8, or expressed as a mixed number, $32 \frac{8}{31}$.
More Information
The quotient tells us how many times 31 fits into 1000 completely, while the remainder (8) shows what is left over after we account for those full 31s. In decimal form, the complete result can also be expressed as approximately 32.26.
Tips
- Forgetting to consider the remainder when reporting the answer can lead to an incomplete solution.
- Confusing the quotient with the decimal result can also happen; it's important to distinguish between the two.
