53 divided by 7
Understand the Problem
The question is asking for the result of dividing 53 by 7, which is a simple arithmetic operation.
Answer
$7\frac{4}{7}$ or $7.571$
Answer for screen readers
The result of dividing 53 by 7 is $7\frac{4}{7}$ or approximately $7.571$.
Steps to Solve
- Set up the division problem
We want to divide 53 by 7. This can be set up as:
$$ 53 \div 7 $$
- Perform the division
Now we perform the division. We can see how many times 7 fits into 53:
- 7 fits into 53 seven times, since $7 \times 7 = 49$.
- The remainder will be calculated next.
- Calculate the remainder
After multiplying 7 by 7, we subtract from 53:
$$ 53 - 49 = 4 $$
So the remainder is 4.
- Write the answer in mixed number form
The result of the division can also be expressed as a mixed number. Since 7 goes into 53 seven times, and we have a remainder of 4, we can write:
$$ 7 \frac{4}{7} $$
Thus, the decimal or fraction form of the answer would be:
$$ 7 + \frac{4}{7} $$
- Convert to a decimal if needed
Alternatively, you can convert this to a decimal:
$$ \frac{4}{7} \approx 0.571 $$
So the answer in decimal form:
$$ 7 + 0.571 \approx 7.571 $$
The result of dividing 53 by 7 is $7\frac{4}{7}$ or approximately $7.571$.
More Information
When you divide two numbers, the quotient and remainder provide insight into how many times the divisor fits into the dividend and how much is left over. Dividing by smaller integers, such as 7, makes this process easier, but it can be visualized as splitting into groups.
Tips
- Miscalculating the multiplication step can lead to an incorrect quotient or remainder. Always double-check your multiplication.
- Forgetting to include the remainder when expressing the answer may lead to an incomplete answer.