57438 ÷ 6 = 9573 R0
Alright, let's work through the division of 57438 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 (7) of the dividend behind the 5 and repeat the process: 57 / 6

Step 2:
6 goes into 57 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 54 from 57 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 6

Step 3:
6 goes into 34 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 95
Subtract 30 from 34 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 6

Step 4:
6 goes into 43 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 957
Subtract 42 from 43 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: 9573
Subtract 18 from 18 to get 0.

The final result is 9573 with a remainder of 0.