30590 ÷ 6 = 5098 R2
Alright, let's work through the division of 30590 by 6 step by step.

Step 1:
6 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 6

Step 2:
6 goes into 30 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 30 from 30 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 6

Step 3:
6 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 50
Subtract 0 from 5 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 6

Step 4:
6 goes into 59 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 509
Subtract 54 from 59 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 6

Step 5:
6 goes into 50 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 5098
Subtract 48 from 50 to get 2.

The final result is 5098 with a remainder of 2.