11488 ÷ 6 = 1914 R4
We're going to perform division on 11488 with 6 as the divisor.

Step 1:
6 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 6

Step 2:
6 goes into 11 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 11 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 6

Step 3:
6 goes into 54 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 19
Subtract 54 from 54 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 6

Step 4:
6 goes into 8 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 191
Subtract 6 from 8 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 6

Step 5:
6 goes into 28 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 1914
Subtract 24 from 28 to get 4.

The final result is 1914 with a remainder of 4.