32945 ÷ 5 = 6589 R0
Alright, let's work through the division of 32945 by 5 step by step.

Step 1:
5 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 / 5

Step 2:
5 goes into 32 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 30 from 32 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 5

Step 3:
5 goes into 29 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 65
Subtract 25 from 29 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 5

Step 4:
5 goes into 44 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 658
Subtract 40 from 44 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 5

Step 5:
5 goes into 45 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 6589
Subtract 45 from 45 to get 0.

The final result is 6589 with a remainder of 0.