56543 ÷ 8 = 7067 R7
Alright, let's work through the division of 56543 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 (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 (5) of the dividend behind the 0 and repeat the process: 5 / 8

Step 3:
8 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 70
Subtract 0 from 5 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 8

Step 4:
8 goes into 54 6 times with a remainder of 6.
Write down 6 as next digit of of the result. 
Result so far: 706
Subtract 48 from 54 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: 7067
Subtract 56 from 63 to get 7.

The final result is 7067 with a remainder of 7.