56665 ÷ 8 = 7083 R1
We're going to perform division on 56665 with 8 as the divisor.

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 (6) of the dividend behind the 5 and repeat the process: 56 / 8

Step 2:
8 goes into 56 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 56 from 56 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 8

Step 3:
8 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 70
Subtract 0 from 6 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 8

Step 4:
8 goes into 66 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 708
Subtract 64 from 66 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 8

Step 5:
8 goes into 25 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 7083
Subtract 24 from 25 to get 1.

The final result is 7083 with a remainder of 1.