51310 ÷ 5 = 10262 R0
Alright, let's work through the division of 51310 by 5 step by step.

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

Step 2:
5 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 5

Step 3:
5 goes into 13 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 102
Subtract 10 from 13 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 5

Step 4:
5 goes into 31 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 1026
Subtract 30 from 31 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 5

Step 5:
5 goes into 10 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 10262
Subtract 10 from 10 to get 0.

The final result is 10262 with a remainder of 0.