What is 400 Divided by 60? Answer is 6.67
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The answer to 400 divided by 60 is approximately 6.67. This means if you divide 400 into 60 equal parts, each part will be about 6.67. Division helps us understand how many times one number fits into another, and in this case, 60 fits into 400 about six and two-thirds times.
Let’s look at different ways to solve this division.
400 ÷ 60 Using Long Division
Here’s how to solve 400 ÷ 60 step-by-step using the long division method:
- Write 400 under the division bar and 60 outside it.
- See how many times 60 goes into 400.
- 60 × 6 = 360
- 60 × 7 = 420 (too high)
- So, use 6.
- Write 6 in the quotient. Subtract 360 from 400, leaving 40.
- Since there’s a remainder, add a decimal point and bring down a zero, making it 400 again.
- Now divide 400 by 60:
- 60 × 6 = 360
- Remainder = 40 again.
- This shows that the division repeats in a pattern.
- The quotient is 6.666…, which rounds to 6.67.
✅ Final Answer: 400 ÷ 60 = 6.67
Using the Distributive Property
We can also use the distributive property of division to make the calculation easier.
Formula:
(a+b)÷c=(a÷c)+(b÷c)
Let’s break 400 into smaller parts:
400÷60=(360÷60)+(40÷60)
Now divide each term:
360÷60=6, 40÷60=0.67
Add them together:
6+0.67=6.67
Thus, using the distributive property also gives us 6.67.
Other Divisions of 400
Let’s see how 400 divides by other numbers for comparison:
| 400 Divided By | Answer |
|---|---|
| 400 ÷ 2 | 200 |
| 400 ÷ 4 | 100 |
| 400 ÷ 5 | 80 |
| 400 ÷ 8 | 50 |
| 400 ÷ 10 | 40 |
| 400 ÷ 60 | 6.67 |
FAQs
1. What is the remainder when 400 is divided by 60?
The remainder is 40, since 60 × 6 = 360 and 400 – 360 = 40.
2. Is 400 divisible by 60 evenly?
No. 400 is not perfectly divisible by 60, which is why the result is a decimal — 6.67.
3. How to check this division?
Multiply the quotient by the divisor:
6.67 × 60 = 400, confirming the answer is correct.
Here are other divisions:
