34406 ÷ 5 = 6881 R1
Alright, let's work through the division of 34406 by 5 step by step.

Step 1:
5 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 5

Step 2:
5 goes into 34 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 30 from 34 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 5

Step 3:
5 goes into 44 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 68
Subtract 40 from 44 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 5

Step 4:
5 goes into 40 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 688
Subtract 40 from 40 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 5

Step 5:
5 goes into 6 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 6881
Subtract 5 from 6 to get 1.

The final result is 6881 with a remainder of 1.