87903 ÷ 8 = 10987 R7
Alright, let's work through the division of 87903 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 (0) of the dividend behind the 7 and repeat the process: 70 / 8

Step 4:
8 goes into 70 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 1098
Subtract 64 from 70 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 8

Step 5:
8 goes into 63 7 times with a remainder of 7.
Write down 7 as next digit of of the result. 
Result so far: 10987
Subtract 56 from 63 to get 7.

The final result is 10987 with a remainder of 7.