75744 ÷ 8 = 9468 R0
Alright, let's work through the division of 75744 by 8 step by step.

Step 1:
8 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 7 to get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 8

Step 2:
8 goes into 75 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 72 from 75 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 8

Step 3:
8 goes into 37 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 94
Subtract 32 from 37 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 8

Step 4:
8 goes into 54 6 times with a remainder of 6.
Write down 6 as next digit of of the result. 
Result so far: 946
Subtract 48 from 54 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 8

Step 5:
8 goes into 64 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 9468
Subtract 64 from 64 to get 0.

The final result is 9468 with a remainder of 0.