Try using the STUFF Function
SELECT CASE WHEN LEFT('000303',1) = '0' THEN STUFF('000303',1,1,'') ELSE '000303' END
or Use RIGHT Function
SELECT CASE WHEN LEFT('000303',1) = '0' THEN RIGHT('000303', LEN('000303')-1) ELSE '000303' END
Instead of LEFT('000303',1) = '0' check that you can also use
charindex('0','000303') = 1 or
'000303' LIKE '0%' (offer from Shanghai)
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