34441 ÷ 6 = 5740 R1
No problem, we've got 34441 and 6 for the division.

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 (4) of the dividend behind the 4 and repeat the process: 44 / 6

Step 3:
6 goes into 44 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 57
Subtract 42 from 44 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 6

Step 4:
6 goes into 24 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 574
Subtract 24 from 24 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 6

Step 5:
6 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 5740
Subtract 0 from 1 to get 1.

The final result is 5740 with a remainder of 1.