37313 ÷ 5 = 7462 R3
Alright, let's work through the division of 37313 by 5 step by step.

Step 1:
5 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 5

Step 2:
5 goes into 37 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 35 from 37 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 5

Step 3:
5 goes into 23 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 74
Subtract 20 from 23 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: 746
Subtract 30 from 31 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 5

Step 5:
5 goes into 13 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 7462
Subtract 10 from 13 to get 3.

The final result is 7462 with a remainder of 3.