450 divided by 7

Steps to Solve

1. Setting Up the Division

We need to perform the division:

$$ 450 \div 7 $$

2. Performing the Division

We can calculate this by long division or using a calculator.

Using long division, we divide 450 by 7:

• 7 goes into 45 (the first two digits of 450) six times since $7 \times 6 = 42$.
• Subtract 42 from 45 to get 3, and then bring down the next digit (0), making it 30.
• 7 goes into 30 four times since $7 \times 4 = 28$.
• Subtract 28 from 30 to get 2.

At this point, there are no more digits to bring down, but we can express this as a decimal by adding a decimal point and a zero.

Continuing, we have:

• Bring down a 0, making it 20.
• 7 goes into 20 two times since $7 \times 2 = 14$.
• Subtract 14 from 20 to get 6.

Bringing down another 0 gives us 60.

• 7 goes into 60 eight times since $7 \times 8 = 56$.
• Subtract 56 from 60 to get 4.

Finally, we can express this continuing pattern or stop here for the needed decimal places.

3. Final Calculation

Adding together, we have:

• The quotient (whole number part) is 64.
• The decimal part can be expressed, and we find after a few steps that the decimal part is approximately $0.285714...$.

So we write:

$$ 450 \div 7 \approx 64.285714 $$

4. Final Result

Putting it all together, the simplified result of $450 \div 7$ is:

$$ 64.285714... $$