93145 ÷ 6 = 15524 R1
Alright, let's work through the division of 93145 by 6 step by step.

Step 1:
6 goes into 9 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 9 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 6

Step 2:
6 goes into 33 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 30 from 33 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 6

Step 3:
6 goes into 31 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 155
Subtract 30 from 31 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 6

Step 4:
6 goes into 14 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 1552
Subtract 12 from 14 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 6

Step 5:
6 goes into 25 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 15524
Subtract 24 from 25 to get 1.

The final result is 15524 with a remainder of 1.