57007 ÷ 8 = 7125 R7
Alright, let's work through the division of 57007 by 8 step by step.

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 (7) of the dividend behind the 5 and repeat the process: 57 / 8

Step 2:
8 goes into 57 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 56 from 57 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 8

Step 3:
8 goes into 10 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 71
Subtract 8 from 10 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 8

Step 4:
8 goes into 20 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 712
Subtract 16 from 20 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 8

Step 5:
8 goes into 47 5 times with a remainder of 7.
Write down 5 as next digit of of the result. 
Result so far: 7125
Subtract 40 from 47 to get 7.

The final result is 7125 with a remainder of 7.