Introduction:
The question is asking to find the number which should be divided by 3-5/6 to get 3/4. To solve this problem, we need to follow some steps.

Step 1: Find the reciprocal of the divisor:
To divide a number by a fraction, we need to multiply the number with the reciprocal of the fraction. Therefore, we need to find the reciprocal of 3-5/6.

Step 2: Convert the dividend and divisor into like fractions:
To divide two fractions, we need to convert them into like fractions. Therefore, we need to convert 3/4 and 3-5/6 into like fractions.

Step 3: Divide the dividend by the divisor:
Once we have converted the fractions into like fractions, we can divide the dividend by the divisor to get the required number.

Calculation:
Let's follow the above steps to find the number which should be divided by 3-5/6 to get 3/4.

Step 1: The reciprocal of 3-5/6 is 6/19.

Step 2: To convert 3/4 into like fraction with 3-5/6, we need to find the least common multiple (LCM) of 4 and 6. The LCM of 4 and 6 is 12. Therefore, we need to multiply 3/4 with 3/3 and 3-5/6 with 2/2 to get the equivalent fractions with a common denominator of 12.

3/4 * 3/3 = 9/12

3-5/6 * 2/2 = 7/12

Now we have the equivalent fractions with a common denominator of 12.

Step 3: Dividing 9/12 by 6/19, we get:

9/12 ÷ 6/19 = 19/24

Therefore, the number which should be divided by 3-5/6 to get 3/4 is 19/24.

Conclusion:
To find the number which should be divided by a fraction, we need to follow the steps of finding the reciprocal of the divisor, converting the dividend and divisor into like fractions, and dividing the dividend by the divisor. In this case, the number which should be divided by 3-5/6 to get 3/4 is 19/24.