65591 ÷ 7 = 9370 R1
Let's divide 65591 by 7.

Step 1:
7 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 7

Step 2:
7 goes into 65 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 63 from 65 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 7

Step 3:
7 goes into 25 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 93
Subtract 21 from 25 to get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 7

Step 4:
7 goes into 49 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 937
Subtract 49 from 49 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 7

Step 5:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 9370
Subtract 0 from 1 to get 1.

The final result is 9370 with a remainder of 1.