9591 ÷ 5 = 1918 R1
We're going to perform division on 9591 with 5 as the divisor.

Step 1:
5 goes into 9 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 9 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 5

Step 2:
5 goes into 45 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 19
Subtract 45 from 45 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: 191
Subtract 5 from 9 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 5

Step 4:
5 goes into 41 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 1918
Subtract 40 from 41 to get 1.

The final result is 1918 with a remainder of 1.