83099 ÷ 8 = 10387 R3
Alright, let's work through the division of 83099 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 (3) of the dividend behind the 0 and repeat the process: 3 / 8

Step 2:
8 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 3 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 8

Step 3:
8 goes into 30 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 103
Subtract 24 from 30 to get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 8

Step 4:
8 goes into 69 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 1038
Subtract 64 from 69 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 8

Step 5:
8 goes into 59 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 10387
Subtract 56 from 59 to get 3.

The final result is 10387 with a remainder of 3.