51369 ÷ 7 = 7338 R3
Alright, let's work through the division of 51369 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 (3) of the dividend behind the 2 and repeat the process: 23 / 7

Step 3:
7 goes into 23 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 73
Subtract 21 from 23 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 7

Step 4:
7 goes into 26 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 733
Subtract 21 from 26 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 7

Step 5:
7 goes into 59 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 7338
Subtract 56 from 59 to get 3.

The final result is 7338 with a remainder of 3.