5997 ÷ 8 = 749 R5
No problem, we've got 5997 and 8 for the division.

Step 1:
8 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 8

Step 2:
8 goes into 59 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 56 from 59 to get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 8

Step 3:
8 goes into 39 4 times with a remainder of 7.
Write down 4 as next digit of of the result. 
Result so far: 74
Subtract 32 from 39 to get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 8

Step 4:
8 goes into 77 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 749
Subtract 72 from 77 to get 5.

The final result is 749 with a remainder of 5.