57339 ÷ 7 = 8191 R2
Alright, let's work through the division of 57339 by 7 step by step.

Step 1:
7 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 7

Step 2:
7 goes into 57 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 56 from 57 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 7

Step 3:
7 goes into 13 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 81
Subtract 7 from 13 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 7

Step 4:
7 goes into 63 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 819
Subtract 63 from 63 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 7

Step 5:
7 goes into 9 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 8191
Subtract 7 from 9 to get 2.

The final result is 8191 with a remainder of 2.