You can also use newer objects explicitly designed to keep track of measurement uncertainty (Around) and interval extent (CenteredInterval). Depending on whether one interprets that 2 has uncertainty 1 or 0.5 we have:
In[1]:= Around[2, 1] / Around[0.034, 0.001]
Out[1]= Around[58.8235294117647, 29.462606169422838`]
In[2]:= Around[2, 0.5]/Around[0.034, 0.0005]
Out[2]= Around[58.8235294117647, 14.731303084711419`]
or with CenteredInterval (use Normal to convert to a number, or Interval to convert to an interval):
In[3]:= CenteredInterval[2, 1]/CenteredInterval[0.034, 0.001]
Out[3]= CenteredInterval[{{493874757, -23, 537451950, -24}, 30}]
In[4]:= CenteredInterval[2, 0.5]/CenteredInterval[0.034, 0.0005]
Out[4]= CenteredInterval[{{493554267, -23, 1059690066, -26}, 30}]
See how they typeset in notebooks:
