32749 ÷ 6 = 5458 R1
Alright, let's work through the division of 32749 by 6 step by step.

Step 1:
6 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 / 6

Step 2:
6 goes into 32 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 30 from 32 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 6

Step 3:
6 goes into 27 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 54
Subtract 24 from 27 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 6

Step 4:
6 goes into 34 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 545
Subtract 30 from 34 to get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 6

Step 5:
6 goes into 49 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 5458
Subtract 48 from 49 to get 1.

The final result is 5458 with a remainder of 1.