15591 ÷ 7 = 2227 R2
Alright, let's work through the division of 15591 by 7 step by step.

Step 1:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 7

Step 2:
7 goes into 15 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 14 from 15 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 7

Step 3:
7 goes into 15 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 22
Subtract 14 from 15 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 7

Step 4:
7 goes into 19 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 222
Subtract 14 from 19 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 7

Step 5:
7 goes into 51 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 2227
Subtract 49 from 51 to get 2.

The final result is 2227 with a remainder of 2.