If sum of the number 985 and two other numbers obtained by arranging the digits of 985 in cyclic order is divided by 111, 22 and 37 respectively. Find the quotient in each case.

Explanation

To solve the problem step by step, we will first identify the numbers obtained by cyclically arranging the digits of 985, then calculate their sum, and finally find the quotients when this sum is divided by 111, 22, and 37.

### Step 1: Identify the cyclic arrangements of the digits of 985
The digits of 985 can be arranged in cyclic order to form three numbers:
1. The original number: **985**
2. First cyclic arrangement: **859**
3. Second cyclic arrangement: **598**

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