87943 ÷ 8 = 10992 R7
Alright, let's work through the division of 87943 by 8 step by step.

Step 1:
8 goes into 8 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 8 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 8

Step 2:
8 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 7 to get 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 8

Step 3:
8 goes into 79 9 times with a remainder of 7.
Write down 9 as next digit of of the result. 
Result so far: 109
Subtract 72 from 79 to get 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 8

Step 4:
8 goes into 74 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 1099
Subtract 72 from 74 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 8

Step 5:
8 goes into 23 2 times with a remainder of 7.
Write down 2 as next digit of of the result. 
Result so far: 10992
Subtract 16 from 23 to get 7.

The final result is 10992 with a remainder of 7.