69138 ÷ 5 = 13827 R3
Alright, let's work through the division of 69138 by 5 step by step.

Step 1:
5 goes into 6 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 6 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 5

Step 2:
5 goes into 19 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 15 from 19 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 5

Step 3:
5 goes into 41 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 138
Subtract 40 from 41 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 5

Step 4:
5 goes into 13 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 1382
Subtract 10 from 13 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 5

Step 5:
5 goes into 38 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 13827
Subtract 35 from 38 to get 3.

The final result is 13827 with a remainder of 3.