75300 ÷ 6 = 12550 R0
Alright, let's work through the division of 75300 by 6 step by step.

Step 1:
6 goes into 7 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 7 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 6

Step 2:
6 goes into 15 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 12 from 15 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 6

Step 3:
6 goes into 33 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 125
Subtract 30 from 33 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 6

Step 4:
6 goes into 30 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 1255
Subtract 30 from 30 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 6

Step 5:
6 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 12550
Subtract 0 from 0 to get 0.

The final result is 12550 with a remainder of 0.