I will tell you what my software Qubiter (GitHub page) does. Others like IBM (QISKit GitHub page, website and documentation), Google (Cirq GitHub page and documentation), Rigetti (PyQuil GitHub page and documentation) and Microsoft (Q# GitHub page and documentation) can describe what their own software does to help visualize the circuit.
Qubiter automatically creates 2 files for the quantum circuit, a Qubiter qasm file and an ASCII picture file. This makes debugging easier (Qubiter can also draw fancy LaTex picture of circuit but that is slower so only optional) The ascii file and qasm file correspond line by line, so line 5 in each gives 2 representations, ascii and qasm, of the same gate. Note that it is common to draw pictures of quantum circuits with time pointing from left to right, but Qubiter draws them with time pointing downwards.
For example, for Teleportation, this is gif of the Qubiter qasm file:
and this is a gif of the Qubiter ascii file:
The PRINT ALL statements print to screen the state vector of the qc at the time at which they appear.