42638 ÷ 8 = 5329 R6
Alright, let's work through the division of 42638 by 8 step by step.

Step 1:
8 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 8

Step 2:
8 goes into 42 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 40 from 42 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 8

Step 3:
8 goes into 26 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 53
Subtract 24 from 26 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 8

Step 4:
8 goes into 23 2 times with a remainder of 7.
Write down 2 as next digit of of the result. 
Result so far: 532
Subtract 16 from 23 to get 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 8

Step 5:
8 goes into 78 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 5329
Subtract 72 from 78 to get 6.

The final result is 5329 with a remainder of 6.