Sometimes I see data posted in a Stack Overflow question formatted like in this question. This is not the first time, so I have decided to ask a question about it, and
Using data.table::fread:
x = '
+------------+------+------+----------+--------------------------+
| Date | Emp1 | Case | Priority | PriorityCountinLast7days |
+------------+------+------+----------+--------------------------+
| 2018-06-01 | A | A1 | 0 | 0 |
| 2018-06-03 | A | A2 | 0 | 1 |
| 2018-06-03 | A | A3 | 0 | 2 |
| 2018-06-03 | A | A4 | 1 | 1 |
| 2018-06-03 | A | A5 | 2 | 1 |
| 2018-06-04 | A | A6 | 0 | 3 |
| 2018-06-01 | B | B1 | 0 | 1 |
| 2018-06-02 | B | B2 | 0 | 2 |
| 2018-06-03 | B | B3 | 0 | 3 |
+------------+------+------+----------+--------------------------+
'
fread(gsub('\\+.+\\n' ,'', x, perl = T), drop=c(1,7))
# Date Emp1 Case Priority PriorityCountinLast7days
# 1: 2018-06-01 A A1 0 0
# 2: 2018-06-03 A A2 0 1
# 3: 2018-06-03 A A3 0 2
# 4: 2018-06-03 A A4 1 1
# 5: 2018-06-03 A A5 2 1
# 6: 2018-06-04 A A6 0 3
# 7: 2018-06-01 B B1 0 1
# 8: 2018-06-02 B B2 0 2
# 9: 2018-06-03 B B3 0 3
The gsub part removes the horizontal rules. drop removes the extra columns caused by delimiters at the line ends.