6593 ÷ 5 = 1318 R3
We're going to perform division on 6593 with 5 as the divisor.

Step 1:
5 goes into 6 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 6 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 5

Step 2:
5 goes into 15 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 15 from 15 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 5

Step 3:
5 goes into 9 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 131
Subtract 5 from 9 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 5

Step 4:
5 goes into 43 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 1318
Subtract 40 from 43 to get 3.

The final result is 1318 with a remainder of 3.