10791 ÷ 8 = 1348 R7
Let's divide 10791 by 8.

Step 1:
8 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 8

Step 2:
8 goes into 10 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 10 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 8

Step 3:
8 goes into 27 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 24 from 27 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 8

Step 4:
8 goes into 39 4 times with a remainder of 7.
Write down 4 as next digit of of the result. 
Result so far: 134
Subtract 32 from 39 to get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 8

Step 5:
8 goes into 71 8 times with a remainder of 7.
Write down 8 as next digit of of the result. 
Result so far: 1348
Subtract 64 from 71 to get 7.

The final result is 1348 with a remainder of 7.