What is 700 Divided by 3? Answer is 233.33
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The answer to 700 divided by 3 is 233.33. When you divide 700 into 3 equal parts, each part is about 233.33, with a small remainder left over. Division helps us understand how a number can be split evenly, and in this case, 700 does not divide evenly by 3 because 3 is not a factor of 700.
Let’s explore how to calculate this step by step.
700 Divided by 3 Using Long Division
Here’s how to find 700 ÷ 3 using the long division method:
- Write 700 under the division bar and 3 outside it.
- See how many times 3 goes into 7.
- 3 × 2 = 6
- Subtract 6 from 7 → remainder 1.
- Bring down the next digit (0) → the number becomes 10.
- 3 × 3 = 9
- Subtract 9 from 10 → remainder 1.
- Bring down the last digit (0) → now it’s 10 again.
- 3 × 3 = 9
- Subtract 9 from 10 → remainder 1.
- The quotient (answer) is 233 with a remainder of 1.
- To express it in decimal form, you can continue the division:
- Add a decimal point and bring down a zero, making it 10 again.
- 3 goes into 10 three times (3 × 3 = 9) → remainder 1.
This pattern repeats.
✅ Final Answer: 700 ÷ 3 = 233.333…
Rounded to two decimal places, it’s 233.33.
Understanding Through Estimation
If we estimate the result:
- 3 × 200 = 600
- 3 × 230 = 690
- 3 × 233 = 699
So, 3 × 233 = 699, which is very close to 700.
That’s why the answer is 233 with a small remainder of 1.
Using the Fraction Method
Another way to show this is as a fraction:
700÷3=700/ 3
Simplifying the fraction gives:
700/ 3 = 233 (1/3)
So, the exact answer in mixed number form is 233 ⅓, and in decimal form, it’s 233.333…
Other Divisions of 700
Here’s how 700 divides by other numbers for comparison:
| 700 Divided By | Answer |
|---|---|
| 700 ÷ 2 | 350 |
| 700 ÷ 3 | 233.33 |
| 700 ÷ 4 | 175 |
| 700 ÷ 5 | 140 |
| 700 ÷ 10 | 70 |
FAQs
1. What is the remainder when 700 is divided by 3?
The remainder is 1 because 3 × 233 = 699, and 700 − 699 = 1.
2. Is 700 divisible by 3?
No, 700 is not divisible by 3 since its digits (7 + 0 + 0 = 7) do not sum to a multiple of 3.
3. How can you verify your result?
Multiply the quotient by the divisor and add the remainder:
(233 × 3) + 1 = 700, which confirms the answer.
Here are other divisions:
