93153 ÷ 6 = 15525 R3
Alright, let's work through the division of 93153 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 (5) of the dividend behind the 1 and repeat the process: 15 / 6

Step 4:
6 goes into 15 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 1552
Subtract 12 from 15 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 6

Step 5:
6 goes into 33 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 15525
Subtract 30 from 33 to get 3.

The final result is 15525 with a remainder of 3.