2600 divided by 3

Steps to Solve

1. Set up the division problem

We want to divide 2600 by 3. This can be written as: $$ \frac{2600}{3} $$

2. Perform the division

To perform the division, we can either do it long division or use a calculator. If we do long division:

• 3 goes into 26 eight times (since $3 \times 8 = 24$).
• Subtract 24 from 26, which gives us a remainder of 2.
• Bring down the next digit (0), making it 20.
• 3 goes into 20 six times (since $3 \times 6 = 18$).
• Subtract 18 from 20, which gives us a remainder of 2.
• Bring down the last digit (0), making it 20 again.
• 3 goes into 20 six times again.

Thus, we see that: $$ 2600 \div 3 = 866 $$ with a remainder of 2.

3. Final result

At this point, we can express our answer in two ways: as a whole number with a remainder or as a decimal.

Expressing with a decimal:

1. The remainder (2) over the divisor (3) gives us $ \frac{2}{3} \approx 0.67$.
2. Thus, we can say that: $$ 866 + \frac{2}{3} \approx 866.67 $$