75816 ÷ 5 = 15163 R1
Alright, let's work through the division of 75816 by 5 step by step.

Step 1:
5 goes into 7 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 7 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 5

Step 2:
5 goes into 25 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 25 from 25 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 5

Step 3:
5 goes into 8 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 151
Subtract 5 from 8 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 5

Step 4:
5 goes into 31 6 times with a remainder of 1.
Write down 6 as next digit of of the result. 
Result so far: 1516
Subtract 30 from 31 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 5

Step 5:
5 goes into 16 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 15163
Subtract 15 from 16 to get 1.

The final result is 15163 with a remainder of 1.