86963 ÷ 8 = 10870 R3
Let's divide 86963 by 8.

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 (6) of the dividend behind the 0 and repeat the process: 6 / 8

Step 2:
8 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 6 to get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 8

Step 3:
8 goes into 69 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 108
Subtract 64 from 69 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 8

Step 4:
8 goes into 56 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 1087
Subtract 56 from 56 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 8

Step 5:
8 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 10870
Subtract 0 from 3 to get 3.

The final result is 10870 with a remainder of 3.