34466 ÷ 7 = 4923 R5
Alright, let's work through the division of 34466 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 (4) of the dividend behind the 6 and repeat the process: 64 / 7

Step 3:
7 goes into 64 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 49
Subtract 63 from 64 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 7

Step 4:
7 goes into 16 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 492
Subtract 14 from 16 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 7

Step 5:
7 goes into 26 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 4923
Subtract 21 from 26 to get 5.

The final result is 4923 with a remainder of 5.