5835 ÷ 6 = 972 R3
Alright, let's work through the division of 5835 by 6 step by step.

Step 1:
6 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 6

Step 2:
6 goes into 58 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 54 from 58 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 6

Step 3:
6 goes into 43 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 97
Subtract 42 from 43 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 6

Step 4:
6 goes into 15 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 972
Subtract 12 from 15 to get 3.

The final result is 972 with a remainder of 3.