34355 ÷ 7 = 4907 R6
Alright, let's work through the division of 34355 by 7 step by step.

Step 1:
7 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 / 7

Step 2:
7 goes into 34 4 times with a remainder of 6.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 28 from 34 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 7

Step 3:
7 goes into 63 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 49
Subtract 63 from 63 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 7

Step 4:
7 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 490
Subtract 0 from 5 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 7

Step 5:
7 goes into 55 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 4907
Subtract 49 from 55 to get 6.

The final result is 4907 with a remainder of 6.