When you divide 5 by 7, the result is approximately 0.7142857142857143. This is a repeating decimal, which means the sequence ‘714285’ repeats indefinitely.
Here’s a step-by-step explanation:
- Divide 5 by 7. Since 7 is larger than 5, the result will be less than 1.
- Multiply 5 by 10 to make it 50. Now, divide 50 by 7, which gives you 7 with a remainder of 1.
- Bring down a 0 to make the remainder 10. Divide 10 by 7, which gives you 1 with a remainder of 3.
- Bring down another 0 to make the remainder 30. Divide 30 by 7, which gives you 4 with a remainder of 2.
- Bring down another 0 to make the remainder 20. Divide 20 by 7, which gives you 2 with a remainder of 6.
- Bring down another 0 to make the remainder 60. Divide 60 by 7, which gives you 8 with a remainder of 4.
- Bring down another 0 to make the remainder 40. Divide 40 by 7, which gives you 5 with a remainder of 5.
- At this point, you can see that the remainders start repeating, indicating that the decimal is repeating.
So, 5 divided by 7 is approximately 0.7142857142857143, and the sequence ‘714285’ repeats indefinitely.