83984 ÷ 7 = 11997 R5
Alright, let's work through the division of 83984 by 7 step by step.

Step 1:
7 goes into 8 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 8 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 7

Step 2:
7 goes into 13 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 7 from 13 to get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 7

Step 3:
7 goes into 69 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 119
Subtract 63 from 69 to get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 7

Step 4:
7 goes into 68 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 1199
Subtract 63 from 68 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 7

Step 5:
7 goes into 54 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 11997
Subtract 49 from 54 to get 5.

The final result is 11997 with a remainder of 5.