51013 ÷ 7 = 7287 R4
Alright, let's work through the division of 51013 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 (1) of the dividend behind the 6 and repeat the process: 61 / 7

Step 4:
7 goes into 61 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 728
Subtract 56 from 61 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 7

Step 5:
7 goes into 53 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 7287
Subtract 49 from 53 to get 4.

The final result is 7287 with a remainder of 4.