550 divided by 6
Understand the Problem
The question is asking us to perform a division operation, specifically calculating how many times 6 fits into 550, as well as determining the remainder.
Answer
The quotient is $91$ and the remainder is $4$.
Answer for screen readers
The quotient is 91 and the remainder is 4.
Thus, we can express this as:
$$ 550 \div 6 = 91 \ \text{R} \ 4 $$
Steps to Solve
- Set up the division problem
We need to divide 550 by 6 to determine how many times 6 fits into 550, and what the remainder is.
$$ \text{Division: } 550 \div 6 $$
- Perform the division
Divide 550 by 6.
Calculating this gives us:
$$ 550 \div 6 = 91.6667 $$
- Determine the whole number quotient
The whole number part of the division is the quotient. In this case, it is 91, meaning 6 fits into 550 a total of 91 times.
- Calculate the remainder
To find the remainder, we can use the formula:
$$ \text{Remainder} = 550 - (6 \times \text{Quotient}) $$
Substituting in our values:
$$ \text{Remainder} = 550 - (6 \times 91) $$
Calculating 6 times 91 gives:
$$ 6 \times 91 = 546 $$
Now calculate the remainder:
$$ \text{Remainder} = 550 - 546 = 4 $$
The quotient is 91 and the remainder is 4.
Thus, we can express this as:
$$ 550 \div 6 = 91 \ \text{R} \ 4 $$
More Information
When dividing a larger number by a smaller one, the quotient tells us the number of complete times the divisor can fit into the dividend, while the remainder shows what's left over. In this case, 6 fits into 550 91 times with a remainder of 4.
Tips
One common mistake is forgetting to calculate the remainder correctly. Ensure you multiply the divisor (6) by the quotient (91) before subtracting from the dividend (550) to find the remainder accurately.
