Final answer:
Ramesh can check his division by ensuring the remainder is smaller than the divisor and by multiplying the quotient by the divisor, then adding the remainder. If the total equals the original number, the division is correct. However, his division is incorrect since a remainder of 28 is larger than the divisor 18.
Step-by-step explanation:
Ramesh made a mistake when dividing 3250 by 18. To find out the mistake in his division, which resulted in a quotient of 179 and a remainder of 28, he should check whether the remainder is less than the divisor and perform the multiplication and addition check. Since the remainder, 28, is larger than the divisor, 18, there is an immediate indication of an error. The correct approach to check the division is to multiply the quotient by the divisor and then add the remainder. If the result matches the original dividend, then the division was done correctly. Using this method:
- Multiply the quotient (179) by the divisor (18), which should be 3222.
- Add the remainder (28) to this product, which gives 3250.
If the sum of this calculation was different from the original number (3250), then the initial division was incorrect. However, since the remainder 28 cannot be correct because it's greater than the divisor, the mistake is already evident without needing to complete the full check.