5669 ÷ 6 = 944 R5
Sure thing! Let's divide 5669 by 6 together.

Step 1:
6 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 6

Step 2:
6 goes into 56 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 54 from 56 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 6

Step 3:
6 goes into 26 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 94
Subtract 24 from 26 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 6

Step 4:
6 goes into 29 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 944
Subtract 24 from 29 to get 5.

The final result is 944 with a remainder of 5.