3291 ÷ 7 = 470 R1
Alright, let's work through the division of 3291 by 7 step by step.

Step 1:
7 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 (2) of the dividend behind the 3 and repeat the process: 32 / 7

Step 2:
7 goes into 32 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 28 from 32 to get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 7

Step 3:
7 goes into 49 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 47
Subtract 49 from 49 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 7

Step 4:
7 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 470
Subtract 0 from 1 to get 1.

The final result is 470 with a remainder of 1.