Copy Cells To Worksheets With Worksheet Name In Opposite Cell

I am developing a Workbook where I import data to one worksheet and then disseminate it to other worksheets. I am not sure if I am overthinking the process, but I am having difficulty writing the macro and getting it to run through the entire list of rows.

There are 4 Columns in the one worksheet, named "Update":
Column A supplies the name of the worksheet that will be updated
Columns B-D contain the data that will update the sheets.

The process that I am trying to write the macro for is a follows:
1. Select/copy the range, starting with B1:D1 on "Update"
2. Navigate to the appropriate worksheet to be update, determined by A1
3. Identify the first blank row, starting with A5
4. Paste the data B1:D1 to A5:C5 (or next available line)
5. Navigate back to "Update" and begin the process again with the next row B2:D2

This process should continue until there is no value in Column B on the "Update" worksheet.