34053 ÷ 7 = 4864 R5
Alright, let's work through the division of 34053 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 (0) of the dividend behind the 6 and repeat the process: 60 / 7

Step 3:
7 goes into 60 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 48
Subtract 56 from 60 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 7

Step 4:
7 goes into 45 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 486
Subtract 42 from 45 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 7

Step 5:
7 goes into 33 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 4864
Subtract 28 from 33 to get 5.

The final result is 4864 with a remainder of 5.