3461 ÷ 6 = 576 R5
Let's divide 3461 by 6.

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 (4) of the dividend behind the 3 and repeat the process: 34 / 6

Step 2:
6 goes into 34 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 30 from 34 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 6

Step 3:
6 goes into 46 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 57
Subtract 42 from 46 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 6

Step 4:
6 goes into 41 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 576
Subtract 36 from 41 to get 5.

The final result is 576 with a remainder of 5.