On dividing a number by 357, we get 39 as remainder. On dividing the same…

Step-by-Step Solution

To find the remainder when a number is divided by a smaller divisor, we can leverage the properties of divisibility.

1. Understand the relationship between divisors:

   • The original divisor is 357 and the new divisor is 17.

   • First, check if the original divisor is a multiple of the new divisor: 357 / 17 = 21.

   • Since 357 is exactly divisible by 17, the remainder when dividing the original number by 17 depends only on the remainder obtained from the first division (39).

2. Calculate the new remainder:

   • The original remainder is 39.

   • Divide this remainder by the new divisor (17): 39 / 17 = 2 with a remainder of 5.

   • Calculation: 39 = (17 * 2) + 5.

3. Conclusion:

   • When the original number is divided by 17, the remainder is 5.