5770 ÷ 6 = 961 R4
Let's divide 5770 by 6.

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 (7) of the dividend behind the 5 and repeat the process: 57 / 6

Step 2:
6 goes into 57 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 54 from 57 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 6

Step 3:
6 goes into 37 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 96
Subtract 36 from 37 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 6

Step 4:
6 goes into 10 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 961
Subtract 6 from 10 to get 4.

The final result is 961 with a remainder of 4.