51905 ÷ 7 = 7415 R0
Alright, let's work through the division of 51905 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 (9) of the dividend behind the 2 and repeat the process: 29 / 7

Step 3:
7 goes into 29 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 74
Subtract 28 from 29 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 7

Step 4:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 741
Subtract 7 from 10 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 7

Step 5:
7 goes into 35 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 7415
Subtract 35 from 35 to get 0.

The final result is 7415 with a remainder of 0.