95032 ÷ 3 = 31677 R1
Alright, let's work through the division of 95032 by 3 step by step.

Step 1:
3 goes into 9 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 9 from 9 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 3

Step 2:
3 goes into 5 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 31
Subtract 3 from 5 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 3

Step 3:
3 goes into 20 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 316
Subtract 18 from 20 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 3

Step 4:
3 goes into 23 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 3167
Subtract 21 from 23 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 3

Step 5:
3 goes into 22 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 31677
Subtract 21 from 22 to get 1.

The final result is 31677 with a remainder of 1.