54378 ÷ 6 = 9063 R0
Alright, let's work through the division of 54378 by 6 step by step.

Step 1:
6 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 (4) of the dividend behind the 5 and repeat the process: 54 / 6

Step 2:
6 goes into 54 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 54 from 54 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 6

Step 3:
6 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 90
Subtract 0 from 3 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 6

Step 4:
6 goes into 37 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 906
Subtract 36 from 37 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 6

Step 5:
6 goes into 18 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 9063
Subtract 18 from 18 to get 0.

The final result is 9063 with a remainder of 0.