51082 ÷ 7 = 7297 R3
Alright, let's work through the division of 51082 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 (1) of the dividend behind the 5 and repeat the process: 51 / 7

Step 2:
7 goes into 51 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 49 from 51 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 7

Step 3:
7 goes into 20 2 times with a remainder of 6.
Write down 2 as next digit of of the result. 
Result so far: 72
Subtract 14 from 20 to get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 7

Step 4:
7 goes into 68 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 729
Subtract 63 from 68 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 7

Step 5:
7 goes into 52 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 7297
Subtract 49 from 52 to get 3.

The final result is 7297 with a remainder of 3.