9976 ÷ 6 = 1662 R4
Alright, let's work through the division of 9976 by 6 step by step.

Step 1:
6 goes into 9 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 9 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 6

Step 2:
6 goes into 39 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 36 from 39 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: 166
Subtract 36 from 37 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 6

Step 4:
6 goes into 16 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 1662
Subtract 12 from 16 to get 4.

The final result is 1662 with a remainder of 4.