34578 ÷ 6 = 5763 R0
Let's divide 34578 by 6.

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 (4) of the dividend behind the 3 and repeat the process: 34 / 6

Step 2:
6 goes into 34 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 30 from 34 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 6

Step 3:
6 goes into 45 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 57
Subtract 42 from 45 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 6

Step 4:
6 goes into 37 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 576
Subtract 36 from 37 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 6

Step 5:
6 goes into 18 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 5763
Subtract 18 from 18 to get 0.

The final result is 5763 with a remainder of 0.